30375701664 has 384 divisors, whose sum is σ = 104119271424. Its totient is φ = 7523712000.

The previous prime is 30375701651. The next prime is 30375701701. The reversal of 30375701664 is 46610757303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16268859 + ... + 16270725.

It is an arithmetic number, because the mean of its divisors is an integer number (271143936).

Almost surely, 2^30375701664 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 30375701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52059635712).

30375701664 is an abundant number, since it is smaller than the sum of its proper divisors (73743569760).

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

30375701664 is a wasteful number, since it uses less digits than its factorization.

30375701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 30375701664 in words is "thirty billion, three hundred seventy-five million, seven hundred one thousand, six hundred sixty-four".