36297407251728 has 120 divisors (see below), whose sum is σ = 116352651168000. Its totient is φ = 10347590356992.

The previous prime is 36297407251661. The next prime is 36297407251739. The reversal of 36297407251728 is 82715270479263.

It is a happy number.

36297407251728 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 7 + 40 + 72 + 517 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39646888 + ... + 40552071.

It is an arithmetic number, because the mean of its divisors is an integer number (969605426400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36297407251728 = 72594814503456, but 3⋅36297407251728 = 108892221755184 is not.

Almost surely, 2^{36297407251728} is an apocalyptic number.

It is an amenable number.

36297407251728 is an abundant number, since it is smaller than the sum of its proper divisors (80055243916272).

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

36297407251728 is a wasteful number, since it uses less digits than its factorization.

36297407251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80199429 (or 80199420 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 36297407251728 in words is "thirty-six trillion, two hundred ninety-seven billion, four hundred seven million, two hundred fifty-one thousand, seven hundred twenty-eight".