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6736673664 = 2733735683
BaseRepresentation
bin1100100011000100…
…10111101110000000
3122101111020110222000
412101202113232000
5102244042024124
63032250144000
7325640532000
oct62142275600
918344213860
106736673664
1129477496a6
121380122000
138348a8946
1447c9b2000
152966516c9
hex191897b80

6736673664 has 256 divisors, whose sum is σ = 23190720000. Its totient is φ = 1924425216.

The previous prime is 6736673663. The next prime is 6736673689. The reversal of 6736673664 is 4663766376.

It is a super-3 number, since 3×67366736643 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6736673664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6736673663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182567 + ... + 1188249.

It is an arithmetic number, because the mean of its divisors is an integer number (90588750).

Almost surely, 26736673664 is an apocalyptic number.

6736673664 is a gapful number since it is divisible by the number (64) 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 6736673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595360000).

6736673664 is an abundant number, since it is smaller than the sum of its proper divisors (16454046336).

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

6736673664 is an equidigital number, since it uses as much as digits as its factorization.

6736673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5695 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The square root of 6736673664 is about 82077.2420589289. The cubic root of 6736673664 is about 1888.6370420417.

The spelling of 6736673664 in words is "six billion, seven hundred thirty-six million, six hundred seventy-three thousand, six hundred sixty-four".