57281679630 has 480 divisors, whose sum is σ = 188781373440. Its totient is φ = 12402149760.

The previous prime is 57281679619. The next prime is 57281679683. The reversal of 57281679630 is 3697618275.

57281679630 is a `hidden beast` number, since 572 + 8 + 1 + 6 + 7 + 9 + 63 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119585731 + ... + 119586209.

It is an arithmetic number, because the mean of its divisors is an integer number (393294528).

Almost surely, 2^57281679630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57281679630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94390686720).

57281679630 is an abundant number, since it is smaller than the sum of its proper divisors (131499693810).

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

57281679630 is a wasteful number, since it uses less digits than its factorization.

57281679630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57281679630 in words is "fifty-seven billion, two hundred eighty-one million, six hundred seventy-nine thousand, six hundred thirty".