57633588672 has 168 divisors, whose sum is σ = 168899189760. Its totient is φ = 17201226240.

The previous prime is 57633588637. The next prime is 57633588679. The reversal of 57633588672 is 27688533675.

57633588672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57633588679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9477729 + ... + 9483807.

It is an arithmetic number, because the mean of its divisors is an integer number (1005352320).

Almost surely, 2^57633588672 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 57633588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84449594880).

57633588672 is an abundant number, since it is smaller than the sum of its proper divisors (111265601088).

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

57633588672 is a wasteful number, since it uses less digits than its factorization.

57633588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6162 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 57633588672 in words is "fifty-seven billion, six hundred thirty-three million, five hundred eighty-eight thousand, six hundred seventy-two".