30670655664 has 320 divisors, whose sum is σ = 94661084160. Its totient is φ = 8458813440.

The previous prime is 30670655657. The next prime is 30670655677. The reversal of 30670655664 is 46655607603.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 25708252 + ... + 25709444.

It is an arithmetic number, because the mean of its divisors is an integer number (295815888).

Almost surely, 2^30670655664 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 30670655664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330542080).

30670655664 is an abundant number, since it is smaller than the sum of its proper divisors (63990428496).

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

30670655664 is a wasteful number, since it uses less digits than its factorization.

30670655664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 30670655664 in words is "thirty billion, six hundred seventy million, six hundred fifty-five thousand, six hundred sixty-four".