30264531696 has 360 divisors, whose sum is σ = 102992408064. Its totient is φ = 8262293760.

The previous prime is 30264531677. The next prime is 30264531697. The reversal of 30264531696 is 69613546203.

30264531696 is a `hidden beast` number, since 3 + 0 + 26 + 4 + 531 + 6 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30264531697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18154255 + ... + 18155921.

Almost surely, 2^30264531696 is an apocalyptic number.

30264531696 is a gapful number since it is divisible by the number (36) 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 30264531696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51496204032).

30264531696 is an abundant number, since it is smaller than the sum of its proper divisors (72727876368).

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

30264531696 is a wasteful number, since it uses less digits than its factorization.

30264531696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 30264531696 in words is "thirty billion, two hundred sixty-four million, five hundred thirty-one thousand, six hundred ninety-six".