61680862751040 has 672 divisors, whose sum is σ = 238649823659520. Its totient is φ = 14517079621632.

The previous prime is 61680862751003. The next prime is 61680862751041. The reversal of 61680862751040 is 4015726808616.

61680862751040 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 0 + 8 + 627 + 5 + 1 + 0 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61680862751041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111557509 + ... + 112109051.

It is an arithmetic number, because the mean of its divisors is an integer number (355133666160).

Almost surely, 2^{61680862751040} is an apocalyptic number.

61680862751040 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 61680862751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119324911829760).

61680862751040 is an abundant number, since it is smaller than the sum of its proper divisors (176968960908480).

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

61680862751040 is a wasteful number, since it uses less digits than its factorization.

61680862751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551711 (or 551698 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 61680862751040 in words is "sixty-one trillion, six hundred eighty billion, eight hundred sixty-two million, seven hundred fifty-one thousand, forty".