63258768720 has 960 divisors, whose sum is σ = 270732672000. Its totient is φ = 13497394176.

The previous prime is 63258768719. The next prime is 63258768767. The reversal of 63258768720 is 2786785236.

63258768720 is a `hidden beast` number, since 6 + 32 + 587 + 6 + 8 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166909491 + ... + 166909869.

It is an arithmetic number, because the mean of its divisors is an integer number (282013200).

Almost surely, 2^63258768720 is an apocalyptic number.

63258768720 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 63258768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336000).

63258768720 is an abundant number, since it is smaller than the sum of its proper divisors (207473903280).

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

63258768720 is a wasteful number, since it uses less digits than its factorization.

63258768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 63258768720 in words is "sixty-three billion, two hundred fifty-eight million, seven hundred sixty-eight thousand, seven hundred twenty".