120680561664 has 352 divisors, whose sum is σ = 397342023680. Its totient is φ = 35931340800.

The previous prime is 120680561647. The next prime is 120680561669. The reversal of 120680561664 is 466165086021.

120680561664 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 80 + 561 + 6 + 6 + 4 = 666.

It is a super-3 number, since 3×120680561664³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120680561669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11136729 + ... + 11147559.

Almost surely, 2^120680561664 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 120680561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198671011840).

120680561664 is an abundant number, since it is smaller than the sum of its proper divisors (276661462016).

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

120680561664 is a wasteful number, since it uses less digits than its factorization.

120680561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 120680561664 in words is "one hundred twenty billion, six hundred eighty million, five hundred sixty-one thousand, six hundred sixty-four".