30967297920 has 1152 divisors, whose sum is σ = 129256676640. Its totient is φ = 7038959616.

The previous prime is 30967297919. The next prime is 30967297943. The reversal of 30967297920 is 2979276903.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 584288614 + ... + 584288666.

Almost surely, 2^30967297920 is an apocalyptic number.

30967297920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30967297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64628338320).

30967297920 is an abundant number, since it is smaller than the sum of its proper divisors (98289378720).

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

30967297920 is a wasteful number, since it uses less digits than its factorization.

30967297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 30967297920 in words is "thirty billion, nine hundred sixty-seven million, two hundred ninety-seven thousand, nine hundred twenty".