68579874720 has 720 divisors, whose sum is σ = 285317303040. Its totient is φ = 15465655296.

The previous prime is 68579874719. The next prime is 68579874739. The reversal of 68579874720 is 2747897586.

68579874720 is a `hidden beast` number, since 6 + 85 + 7 + 9 + 87 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×68579874720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50167477 + ... + 50168843.

It is an arithmetic number, because the mean of its divisors is an integer number (396274032).

Almost surely, 2^68579874720 is an apocalyptic number.

68579874720 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 68579874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142658651520).

68579874720 is an abundant number, since it is smaller than the sum of its proper divisors (216737428320).

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

68579874720 is a wasteful number, since it uses less digits than its factorization.

68579874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 68579874720 in words is "sixty-eight billion, five hundred seventy-nine million, eight hundred seventy-four thousand, seven hundred twenty".