57622080672 has 432 divisors, whose sum is σ = 193264475040. Its totient is φ = 16786082304.

The previous prime is 57622080667. The next prime is 57622080713. The reversal of 57622080672 is 27608022675.

57622080672 is a `hidden beast` number, since 576 + 2 + 2 + 0 + 8 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36491979 + ... + 36493557.

It is an arithmetic number, because the mean of its divisors is an integer number (447371470).

Almost surely, 2^57622080672 is an apocalyptic number.

57622080672 is a gapful number since it is divisible by the number (52) 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 57622080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96632237520).

57622080672 is an abundant number, since it is smaller than the sum of its proper divisors (135642394368).

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

57622080672 is a wasteful number, since it uses less digits than its factorization.

57622080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57622080672 in words is "fifty-seven billion, six hundred twenty-two million, eighty thousand, six hundred seventy-two".