63920772864000 has 1344 divisors, whose sum is σ = 257557592466720. Its totient is φ = 15733746892800.

The previous prime is 63920772863989. The next prime is 63920772864007. The reversal of 63920772864000 is 46827702936.

63920772864000 is a `hidden beast` number, since 6 + 3 + 9 + 207 + 7 + 28 + 6 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63920772864007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2426098827 + ... + 2426125173.

Almost surely, 2^{63920772864000} is an apocalyptic number.

63920772864000 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 63920772864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128778796233360).

63920772864000 is an abundant number, since it is smaller than the sum of its proper divisors (193636819602720).

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

63920772864000 is an equidigital number, since it uses as much as digits as its factorization.

63920772864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26415 (or 26370 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 63920772864000 in words is "sixty-three trillion, nine hundred twenty billion, seven hundred seventy-two million, eight hundred sixty-four thousand".