16764310656 has 192 divisors, whose sum is σ = 50982048000. Its totient is φ = 5276823552.

The previous prime is 16764310631. The next prime is 16764310669. The reversal of 16764310656 is 65601346761.

16764310656 is a `hidden beast` number, since 167 + 6 + 431 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16764310656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2089180 + ... + 2097188.

It is an arithmetic number, because the mean of its divisors is an integer number (265531500).

Almost surely, 2^16764310656 is an apocalyptic number.

16764310656 is a gapful number since it is divisible by the number (16) 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 16764310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491024000).

16764310656 is an abundant number, since it is smaller than the sum of its proper divisors (34217737344).

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

16764310656 is a wasteful number, since it uses less digits than its factorization.

16764310656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 16764310656 in words is "sixteen billion, seven hundred sixty-four million, three hundred ten thousand, six hundred fifty-six".