30640915008 has 448 divisors, whose sum is σ = 103641753600. Its totient is φ = 8786257920.

The previous prime is 30640914923. The next prime is 30640915013. The reversal of 30640915008 is 80051904603.

30640915008 is a `hidden beast` number, since 3 + 0 + 64 + 0 + 91 + 500 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47652735 + ... + 47653377.

It is an arithmetic number, because the mean of its divisors is an integer number (231343200).

Almost surely, 2^30640915008 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 30640915008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51820876800).

30640915008 is an abundant number, since it is smaller than the sum of its proper divisors (73000838592).

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

30640915008 is a wasteful number, since it uses less digits than its factorization.

30640915008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30640915008 in words is "thirty billion, six hundred forty million, nine hundred fifteen thousand, eight".