30561336960 has 768 divisors, whose sum is σ = 125649377280. Its totient is φ = 6137856000.

The previous prime is 30561336941. The next prime is 30561336977. The reversal of 30561336960 is 6963316503.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202392885 + ... + 202393035.

It is an arithmetic number, because the mean of its divisors is an integer number (163605960).

Almost surely, 2^30561336960 is an apocalyptic number.

30561336960 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 30561336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62824688640).

30561336960 is an abundant number, since it is smaller than the sum of its proper divisors (95088040320).

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

30561336960 is a wasteful number, since it uses less digits than its factorization.

30561336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The spelling of 30561336960 in words is "thirty billion, five hundred sixty-one million, three hundred thirty-six thousand, nine hundred sixty".