68169431520 has 672 divisors, whose sum is σ = 264154141440. Its totient is φ = 16542351360.

The previous prime is 68169431507. The next prime is 68169431549. The reversal of 68169431520 is 2513496186.

68169431520 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 94 + 31 + 520 = 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 111 ways as a sum of consecutive naturals, for example, 61468726 + ... + 61469834.

It is an arithmetic number, because the mean of its divisors is an integer number (393086520).

Almost surely, 2^68169431520 is an apocalyptic number.

68169431520 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 68169431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132077070720).

68169431520 is an abundant number, since it is smaller than the sum of its proper divisors (195984709920).

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

68169431520 is a wasteful number, since it uses less digits than its factorization.

68169431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 68169431520 in words is "sixty-eight billion, one hundred sixty-nine million, four hundred thirty-one thousand, five hundred twenty".