19632627972 has 36 divisors (see below), whose sum is σ = 49750715196. Its totient is φ = 6527884800.

The previous prime is 19632627913. The next prime is 19632627991. The reversal of 19632627972 is 27972623691.

19632627972 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 2 + 627 + 9 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15479341056 + 4153286916 = 124416^2 + 64446^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 665553 + ... + 694424.

It is an arithmetic number, because the mean of its divisors is an integer number (1381964311).

Almost surely, 2^19632627972 is an apocalyptic number.

19632627972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19632627972 is an abundant number, since it is smaller than the sum of its proper divisors (30118087224).

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

19632627972 is a wasteful number, since it uses less digits than its factorization.

19632627972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360388 (or 1360383 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 19632627972 in words is "nineteen billion, six hundred thirty-two million, six hundred twenty-seven thousand, nine hundred seventy-two".