30802568832 has 384 divisors, whose sum is σ = 104415816960. Its totient is φ = 8534163456.

The previous prime is 30802568807. The next prime is 30802568837. The reversal of 30802568832 is 23886520803.

30802568832 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 2 + 568 + 83 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30802568837) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41456653 + ... + 41457395.

It is an arithmetic number, because the mean of its divisors is an integer number (271916190).

Almost surely, 2^30802568832 is an apocalyptic number.

30802568832 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 30802568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207908480).

30802568832 is an abundant number, since it is smaller than the sum of its proper divisors (73613248128).

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

30802568832 is a wasteful number, since it uses less digits than its factorization.

30802568832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30802568832 in words is "thirty billion, eight hundred two million, five hundred sixty-eight thousand, eight hundred thirty-two".