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6420750336 = 213337111329
BaseRepresentation
bin1011111101011010…
…01110000000000000
3121120110202220122000
411332231032000000
5101122203002321
62541042544000
7315053322510
oct57655160000
917513686560
106420750336
1127a5389840
1212b2368000
137b42c4170
1444ca55840
15278a49826
hex17eb4e000

6420750336 has 896 divisors, whose sum is σ = 26422502400. Its totient is φ = 1486356480.

The previous prime is 6420750331. The next prime is 6420750353. The reversal of 6420750336 is 6330570246.

6420750336 is a `hidden beast` number, since 642 + 0 + 7 + 5 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×64207503362 = 82452069754488225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6420750336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420750331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221405170 + ... + 221405198.

It is an arithmetic number, because the mean of its divisors is an integer number (29489400).

Almost surely, 26420750336 is an apocalyptic number.

6420750336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420750336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211251200).

6420750336 is an abundant number, since it is smaller than the sum of its proper divisors (20001752064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6420750336 is a wasteful number, since it uses less digits than its factorization.

6420750336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 6420750336 is about 80129.5846488674. The cubic root of 6420750336 is about 1858.6399214317.

The spelling of 6420750336 in words is "six billion, four hundred twenty million, seven hundred fifty thousand, three hundred thirty-six".