10664372356704 has 1440 divisors, whose sum is σ = 37331892015264. Its totient is φ = 2959986032640.

The previous prime is 10664372356691. The next prime is 10664372356709. The reversal of 10664372356704 is 40765327346601.

10664372356704 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 3 + 72 + 3 + 567 + 0 + 4 = 666.

It is a super-2 number, since 2×10664372356704² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664372356709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61643770762 + ... + 61643770934.

Almost surely, 2^{10664372356704} 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 10664372356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665946007632).

10664372356704 is an abundant number, since it is smaller than the sum of its proper divisors (26667519658560).

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

10664372356704 is a wasteful number, since it uses less digits than its factorization.

10664372356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 10664372356704 in words is "ten trillion, six hundred sixty-four billion, three hundred seventy-two million, three hundred fifty-six thousand, seven hundred four".