63120129264 has 30 divisors (see below), whose sum is σ = 176648695496. Its totient is φ = 21040043040.

The previous prime is 63120129263. The next prime is 63120129283. The reversal of 63120129264 is 46292102136.

It is a happy number.

63120129264 is a `hidden beast` number, since 631 + 2 + 0 + 12 + 9 + 2 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63120129263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219166972 + ... + 219167259.

Almost surely, 2^63120129264 is an apocalyptic number.

It is an amenable number.

63120129264 is an abundant number, since it is smaller than the sum of its proper divisors (113528566232).

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

63120129264 is a wasteful number, since it uses less digits than its factorization.

63120129264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438334245 (or 438334236 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 63120129264 in words is "sixty-three billion, one hundred twenty million, one hundred twenty-nine thousand, two hundred sixty-four".