32172712063632 has 960 divisors, whose sum is σ = 113935107686400. Its totient is φ = 8263174487040.

The previous prime is 32172712063577. The next prime is 32172712063703. The reversal of 32172712063632 is 23636021727123.

32172712063632 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 2 + 7 + 1 + 2 + 0 + 6 + 3 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38346497869 + ... + 38346498707.

It is an arithmetic number, because the mean of its divisors is an integer number (118682403840).

Almost surely, 2^{32172712063632} 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 32172712063632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56967553843200).

32172712063632 is an abundant number, since it is smaller than the sum of its proper divisors (81762395622768).

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

32172712063632 is a wasteful number, since it uses less digits than its factorization.

32172712063632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 32172712063632 in words is "thirty-two trillion, one hundred seventy-two billion, seven hundred twelve million, sixty-three thousand, six hundred thirty-two".