61680927168 has 672 divisors, whose sum is σ = 221302681600. Its totient is φ = 17008911360.

The previous prime is 61680927107. The next prime is 61680927173. The reversal of 61680927168 is 86172908616.

61680927168 is a `hidden beast` number, since 616 + 8 + 0 + 9 + 2 + 7 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 165364230 + ... + 165364602.

Almost surely, 2^61680927168 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 61680927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110651340800).

61680927168 is an abundant number, since it is smaller than the sum of its proper divisors (159621754432).

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

61680927168 is an equidigital number, since it uses as much as digits as its factorization.

61680927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 61680927168 in words is "sixty-one billion, six hundred eighty million, nine hundred twenty-seven thousand, one hundred sixty-eight".