57631703040 has 288 divisors, whose sum is σ = 204974854560. Its totient is φ = 15363735552.

The previous prime is 57631703033. The next prime is 57631703047. The reversal of 57631703040 is 4030713675.

57631703040 is a `hidden beast` number, since 576 + 3 + 17 + 0 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (57631703033) and next prime (57631703047).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57631702986 and 57631703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57631703047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17693092 + ... + 17696348.

It is an arithmetic number, because the mean of its divisors is an integer number (711718245).

Almost surely, 2^57631703040 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 57631703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102487427280).

57631703040 is an abundant number, since it is smaller than the sum of its proper divisors (147343151520).

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

57631703040 is an frugal number, since it uses more digits than its factorization.

57631703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 57631703040 in words is "fifty-seven billion, six hundred thirty-one million, seven hundred three thousand, forty".