57630705966 has 24 divisors (see below), whose sum is σ = 124954333920. Its totient is φ = 19196726976.

The previous prime is 57630705947. The next prime is 57630705973. The reversal of 57630705966 is 66950703675.

57630705966 is a `hidden beast` number, since 576 + 3 + 0 + 7 + 0 + 5 + 9 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099371 + ... + 1150598.

It is an arithmetic number, because the mean of its divisors is an integer number (5206430580).

Almost surely, 2^57630705966 is an apocalyptic number.

57630705966 is an abundant number, since it is smaller than the sum of its proper divisors (67323627954).

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

57630705966 is a wasteful number, since it uses less digits than its factorization.

57630705966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251400 (or 2251397 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 57630705966 in words is "fifty-seven billion, six hundred thirty million, seven hundred five thousand, nine hundred sixty-six".