30961808064 has 784 divisors, whose sum is σ = 109058805504. Its totient is φ = 8622028800.

The previous prime is 30961808057. The next prime is 30961808069. The reversal of 30961808064 is 46080816903.

It is not an unprimeable number, because it can be changed into a prime (30961808069) 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 111 ways as a sum of consecutive naturals, for example, 507570594 + ... + 507570654.

Almost surely, 2^30961808064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30961808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54529402752).

30961808064 is an abundant number, since it is smaller than the sum of its proper divisors (78096997440).

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

30961808064 is a wasteful number, since it uses less digits than its factorization.

30961808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30961808064 in words is "thirty billion, nine hundred sixty-one million, eight hundred eight thousand, sixty-four".