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64680850080 = 2533571131607
BaseRepresentation
bin111100001111010001…
…110111001010100000
320011221201102121221000
4330033101313022200
52024431244200310
645414115032000
74446565103640
oct741721671240
9204851377830
1064680850080
1125481721000
121065159b600
13613a444772
1431b83d8520
151a386664c0
hexf0f4772a0

64680850080 has 768 divisors, whose sum is σ = 284753387520. Its totient is φ = 13431813120.

The previous prime is 64680850067. The next prime is 64680850093. The reversal of 64680850080 is 8005808646.

64680850080 is a `hidden beast` number, since 6 + 4 + 68 + 0 + 8 + 500 + 80 = 666.

64680850080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64680850067) and next prime (64680850093).

It is a super-2 number, since 2×646808500802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40248637 + ... + 40250243.

It is an arithmetic number, because the mean of its divisors is an integer number (370772640).

Almost surely, 264680850080 is an apocalyptic number.

64680850080 is a gapful number since it is divisible by the number (60) 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 64680850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142376693760).

64680850080 is an abundant number, since it is smaller than the sum of its proper divisors (220072537440).

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

64680850080 is a wasteful number, since it uses less digits than its factorization.

64680850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 64680850080 in words is "sixty-four billion, six hundred eighty million, eight hundred fifty thousand, eighty".