68607393120 has 576 divisors, whose sum is σ = 282183652800. Its totient is φ = 15521587200.

The previous prime is 68607393097. The next prime is 68607393137. The reversal of 68607393120 is 2139370686.

68607393120 is a `hidden beast` number, since 6 + 8 + 607 + 3 + 9 + 31 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 21378076 + ... + 21381284.

It is an arithmetic number, because the mean of its divisors is an integer number (489902175).

Almost surely, 2^68607393120 is an apocalyptic number.

68607393120 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 68607393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141091826400).

68607393120 is an abundant number, since it is smaller than the sum of its proper divisors (213576259680).

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

68607393120 is a wasteful number, since it uses less digits than its factorization.

68607393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 68607393120 in words is "sixty-eight billion, six hundred seven million, three hundred ninety-three thousand, one hundred twenty".