61964250624 has 180 divisors, whose sum is σ = 181962556776. Its totient is φ = 20299413504.

The previous prime is 61964250581. The next prime is 61964250641. The reversal of 61964250624 is 42605246916.

61964250624 is a `hidden beast` number, since 6 + 19 + 6 + 4 + 2 + 5 + 0 + 624 = 666.

61964250624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61964250624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16038517 + ... + 16042379.

Almost surely, 2^61964250624 is an apocalyptic number.

61964250624 is a gapful number since it is divisible by the number (64) 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 61964250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90981278388).

61964250624 is an abundant number, since it is smaller than the sum of its proper divisors (119998306152).

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

61964250624 is an equidigital number, since it uses as much as digits as its factorization.

61964250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 61964250624 in words is "sixty-one billion, nine hundred sixty-four million, two hundred fifty thousand, six hundred twenty-four".