30409956864 has 240 divisors, whose sum is σ = 106205175648. Its totient is φ = 8177319936.

The previous prime is 30409956827. The next prime is 30409956883. The reversal of 30409956864 is 46865990403.

30409956864 is a `hidden beast` number, since 30 + 40 + 9 + 9 + 568 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30409956864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520624 + ... + 576080.

Almost surely, 2^30409956864 is an apocalyptic number.

30409956864 is a gapful number since it is divisible by the number (34) 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 30409956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53102587824).

30409956864 is an abundant number, since it is smaller than the sum of its proper divisors (75795218784).

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

30409956864 is a wasteful number, since it uses less digits than its factorization.

30409956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55505 (or 55486 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 30409956864 in words is "thirty billion, four hundred nine million, nine hundred fifty-six thousand, eight hundred sixty-four".