61680768000 has 176 divisors, whose sum is σ = 205174641984. Its totient is φ = 16448102400.

The previous prime is 61680767987. The next prime is 61680768043. The reversal of 61680768000 is 86708616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303687 + ... + 464313.

Almost surely, 2^61680768000 is an apocalyptic number.

61680768000 is a gapful number since it is divisible by the number (60) 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 61680768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102587320992).

61680768000 is an abundant number, since it is smaller than the sum of its proper divisors (143493873984).

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

61680768000 is a wasteful number, since it uses less digits than its factorization.

61680768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160665 (or 160637 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 61680768000 in words is "sixty-one billion, six hundred eighty million, seven hundred sixty-eight thousand".