30661562044624 has 320 divisors, whose sum is σ = 71111305728000. Its totient is φ = 12798257472000.

The previous prime is 30661562044613. The next prime is 30661562044667. The reversal of 30661562044624 is 42644026516603.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33805470379 + ... + 33805471285.

It is an arithmetic number, because the mean of its divisors is an integer number (222222830400).

Almost surely, 2^{30661562044624} 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 30661562044624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555652864000).

30661562044624 is an abundant number, since it is smaller than the sum of its proper divisors (40449743683376).

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

30661562044624 is a wasteful number, since it uses less digits than its factorization.

30661562044624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 30661562044624 in words is "thirty trillion, six hundred sixty-one billion, five hundred sixty-two million, forty-four thousand, six hundred twenty-four".