120676640325264 has 75 divisors (see below), whose sum is σ = 349274352835507. Its totient is φ = 40225414951584.

The previous prime is 120676640325259. The next prime is 120676640325281. The reversal of 120676640325264 is 462523046676021.

The square root of 120676640325264 is 10985292.

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

120676640325264 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 76 + 6 + 40 + 3 + 2 + 526 + 4 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120676640325264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 395317939 + ... + 395623085.

Almost surely, 2^{120676640325264} is an apocalyptic number.

120676640325264 is the 10985292-nd square number.

It is an amenable number.

120676640325264 is an abundant number, since it is smaller than the sum of its proper divisors (228597712510243).

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

120676640325264 is an frugal number, since it uses more digits than its factorization.

120676640325264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610314 (or 305152 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 120676640325264 in words is "one hundred twenty trillion, six hundred seventy-six billion, six hundred forty million, three hundred twenty-five thousand, two hundred sixty-four".