30574790064 has 400 divisors, whose sum is σ = 109800472320. Its totient is φ = 7998082560.

The previous prime is 30574789997. The next prime is 30574790083. The reversal of 30574790064 is 46009747503.

30574790064 is a `hidden beast` number, since 3 + 0 + 574 + 79 + 0 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15448627 + ... + 15450605.

Almost surely, 2^30574790064 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 30574790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900236160).

30574790064 is an abundant number, since it is smaller than the sum of its proper divisors (79225682256).

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

30574790064 is a wasteful number, since it uses less digits than its factorization.

30574790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 30574790064 in words is "thirty billion, five hundred seventy-four million, seven hundred ninety thousand, sixty-four".