30807672192 has 384 divisors, whose sum is σ = 101225779200. Its totient is φ = 9249085440.

The previous prime is 30807672143. The next prime is 30807672229. The reversal of 30807672192 is 29127670803.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30807672192² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43451934 + ... + 43452642.

It is an arithmetic number, because the mean of its divisors is an integer number (263608800).

Almost surely, 2^30807672192 is an apocalyptic number.

30807672192 is a gapful number since it is divisible by the number (32) 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 30807672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50612889600).

30807672192 is an abundant number, since it is smaller than the sum of its proper divisors (70418107008).

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

30807672192 is a wasteful number, since it uses less digits than its factorization.

30807672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 30807672192 in words is "thirty billion, eight hundred seven million, six hundred seventy-two thousand, one hundred ninety-two".