30461304960 has 256 divisors, whose sum is σ = 108282384000. Its totient is φ = 8093011968.

The previous prime is 30461304893. The next prime is 30461304997. The reversal of 30461304960 is 6940316403.

30461304960 is a `hidden beast` number, since 30 + 4 + 6 + 130 + 496 + 0 = 666.

It is a super-2 number, since 2×30461304960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 4887126 + ... + 4893354.

Almost surely, 2^30461304960 is an apocalyptic number.

30461304960 is a gapful number since it is divisible by the number (30) 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 30461304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54141192000).

30461304960 is an abundant number, since it is smaller than the sum of its proper divisors (77821079040).

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

30461304960 is a wasteful number, since it uses less digits than its factorization.

30461304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30461304960 in words is "thirty billion, four hundred sixty-one million, three hundred four thousand, nine hundred sixty".