35664401793024 has 351 divisors, whose sum is σ = 106993137473047. Its totient is φ = 11888133931008.

The previous prime is 35664401793017. The next prime is 35664401793037. The reversal of 35664401793024 is 42039710446653.

The square root of 35664401793024 is 5971968.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁷ ⋅ (3!)⁵.

35664401793024 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 440 + 179 + 3 + 0 + 24 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1728.

It is a super-2 number, since 2×35664401793024² (a number of 28 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 11888133931007 + 11888133931008 + 11888133931009.

Almost surely, 2^{35664401793024} is an apocalyptic number.

35664401793024 is the 5971968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35664401793024

35664401793024 is an abundant number, since it is smaller than the sum of its proper divisors (71328735680023).

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

35664401793024 is an frugal number, since it uses more digits than its factorization.

35664401793024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 35664401793024 in words is "thirty-five trillion, six hundred sixty-four billion, four hundred one million, seven hundred ninety-three thousand, twenty-four".