30841872264 has 144 divisors (see below), whose sum is σ = 99794822400. Its totient is φ = 8428761792.

The previous prime is 30841872263. The next prime is 30841872283. The reversal of 30841872264 is 46227814803.

It is a happy number.

30841872264 is a `hidden beast` number, since 3 + 0 + 8 + 418 + 7 + 226 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (30841872263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208777 + ... + 324455.

It is an arithmetic number, because the mean of its divisors is an integer number (693019600).

Almost surely, 2^30841872264 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 30841872264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49897411200).

30841872264 is an abundant number, since it is smaller than the sum of its proper divisors (68952950136).

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

30841872264 is a wasteful number, since it uses less digits than its factorization.

30841872264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115744 (or 115714 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 30841872264 in words is "thirty billion, eight hundred forty-one million, eight hundred seventy-two thousand, two hundred sixty-four".