63272137824 has 672 divisors, whose sum is σ = 228457635840. Its totient is φ = 16852147200.

The previous prime is 63272137807. The next prime is 63272137843. The reversal of 63272137824 is 42873127236.

63272137824 is a `hidden beast` number, since 6 + 3 + 272 + 1 + 378 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63272137824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 146802889 + ... + 146803319.

It is an arithmetic number, because the mean of its divisors is an integer number (339966720).

Almost surely, 2^63272137824 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 63272137824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114228817920).

63272137824 is an abundant number, since it is smaller than the sum of its proper divisors (165185498016).

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

63272137824 is a wasteful number, since it uses less digits than its factorization.

63272137824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 503 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 63272137824 in words is "sixty-three billion, two hundred seventy-two million, one hundred thirty-seven thousand, eight hundred twenty-four".