68687681832 has 640 divisors, whose sum is σ = 250325729280. Its totient is φ = 17218396800.

The previous prime is 68687681789. The next prime is 68687681851. The reversal of 68687681832 is 23818678686.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68687681832.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187159713 + ... + 187160079.

It is an arithmetic number, because the mean of its divisors is an integer number (391133952).

Almost surely, 2^68687681832 is an apocalyptic number.

68687681832 is a gapful number since it is divisible by the number (62) 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 68687681832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125162864640).

68687681832 is an abundant number, since it is smaller than the sum of its proper divisors (181638047448).

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

68687681832 is a wasteful number, since it uses less digits than its factorization.

68687681832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 421 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 68687681832 in words is "sixty-eight billion, six hundred eighty-seven million, six hundred eighty-one thousand, eight hundred thirty-two".