63616132224 has 96 divisors (see below), whose sum is σ = 184379504400. Its totient is φ = 21052767744.

The previous prime is 63616132219. The next prime is 63616132231. The reversal of 63616132224 is 42223161636.

63616132224 is a `hidden beast` number, since 6 + 3 + 616 + 1 + 32 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38514 + ... + 358769.

Almost surely, 2^63616132224 is an apocalyptic number.

63616132224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63616132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92189752200).

63616132224 is an abundant number, since it is smaller than the sum of its proper divisors (120763372176).

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

63616132224 is a wasteful number, since it uses less digits than its factorization.

63616132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397442 (or 397427 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 63616132224 in words is "sixty-three billion, six hundred sixteen million, one hundred thirty-two thousand, two hundred twenty-four".