61926306624 has 1344 divisors, whose sum is σ = 248521728000. Its totient is φ = 15143417856.

The previous prime is 61926306613. The next prime is 61926306661. The reversal of 61926306624 is 42660362916.

61926306624 is a `hidden beast` number, since 6 + 1 + 9 + 2 + 630 + 6 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 61926306624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1317580969 + ... + 1317581015.

It is an arithmetic number, because the mean of its divisors is an integer number (184912000).

Almost surely, 2^61926306624 is an apocalyptic number.

61926306624 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 61926306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864000).

61926306624 is an abundant number, since it is smaller than the sum of its proper divisors (186595421376).

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

61926306624 is a wasteful number, since it uses less digits than its factorization.

61926306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 61926306624 in words is "sixty-one billion, nine hundred twenty-six million, three hundred six thousand, six hundred twenty-four".