57641340672 has 216 divisors, whose sum is σ = 168849967104. Its totient is φ = 18908669952.

The previous prime is 57641340661. The next prime is 57641340703. The reversal of 57641340672 is 27604314675.

57641340672 is a `hidden beast` number, since 576 + 4 + 1 + 3 + 4 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×57641340672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73241463 + ... + 73242249.

Almost surely, 2^57641340672 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 57641340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84424983552).

57641340672 is an abundant number, since it is smaller than the sum of its proper divisors (111208626432).

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

57641340672 is a wasteful number, since it uses less digits than its factorization.

57641340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 57641340672 in words is "fifty-seven billion, six hundred forty-one million, three hundred forty thousand, six hundred seventy-two".