10172664756 has 288 divisors, whose sum is σ = 28858152960. Its totient is φ = 3010867200.

The previous prime is 10172664743. The next prime is 10172664797. The reversal of 10172664756 is 65746627101.

10172664756 is a `hidden beast` number, since 1 + 0 + 172 + 6 + 6 + 475 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114299560 + ... + 114299648.

It is an arithmetic number, because the mean of its divisors is an integer number (100201920).

Almost surely, 2^10172664756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10172664756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429076480).

10172664756 is an abundant number, since it is smaller than the sum of its proper divisors (18685488204).

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

10172664756 is a wasteful number, since it uses less digits than its factorization.

10172664756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10172664756 in words is "ten billion, one hundred seventy-two million, six hundred sixty-four thousand, seven hundred fifty-six".