61920792576000 has 2048 divisors, whose sum is σ = 242909409600000. Its totient is φ = 15537379737600.

The previous prime is 61920792575969. The next prime is 61920792576007. The reversal of 61920792576000 is 67529702916.

61920792576000 is a `hidden beast` number, since 6 + 1 + 9 + 2 + 0 + 7 + 9 + 25 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is not an unprimeable number, because it can be changed into a prime (61920792576007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137908223776 + ... + 137908224224.

Almost surely, 2^{61920792576000} is an apocalyptic number.

61920792576000 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 61920792576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121454704800000).

61920792576000 is an abundant number, since it is smaller than the sum of its proper divisors (180988617024000).

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

61920792576000 is an equidigital number, since it uses as much as digits as its factorization.

61920792576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 61920792576000 in words is "sixty-one trillion, nine hundred twenty billion, seven hundred ninety-two million, five hundred seventy-six thousand".