68125224960 has 780 divisors, whose sum is σ = 265530530232. Its totient is φ = 16769286144.

The previous prime is 68125224949. The next prime is 68125225033. The reversal of 68125224960 is 6942252186.

68125224960 is a `hidden beast` number, since 6 + 81 + 2 + 522 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (780).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5240401914 + ... + 5240401926.

Almost surely, 2^68125224960 is an apocalyptic number.

68125224960 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 68125224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765265116).

68125224960 is an abundant number, since it is smaller than the sum of its proper divisors (197405305272).

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

68125224960 is an frugal number, since it uses more digits than its factorization.

68125224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

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

The spelling of 68125224960 in words is "sixty-eight billion, one hundred twenty-five million, two hundred twenty-four thousand, nine hundred sixty".