68407113600 has 768 divisors, whose sum is σ = 301224768000. Its totient is φ = 14810480640.

The previous prime is 68407113571. The next prime is 68407113629. The reversal of 68407113600 is 631170486.

68407113600 is a `hidden beast` number, since 6 + 8 + 40 + 7 + 1 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (68407113571) and next prime (68407113629).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11488224 + ... + 11494176.

It is an arithmetic number, because the mean of its divisors is an integer number (392219750).

Almost surely, 2^68407113600 is an apocalyptic number.

68407113600 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 68407113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150612384000).

68407113600 is an abundant number, since it is smaller than the sum of its proper divisors (232817654400).

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

68407113600 is a wasteful number, since it uses less digits than its factorization.

68407113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 68407113600 in words is "sixty-eight billion, four hundred seven million, one hundred thirteen thousand, six hundred".