68737858560 has 528 divisors, whose sum is σ = 277818840000. Its totient is φ = 15707897856.

The previous prime is 68737858559. The next prime is 68737858571. The reversal of 68737858560 is 6585873786.

68737858560 is a `hidden beast` number, since 68 + 7 + 3 + 7 + 8 + 5 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15803266 + ... + 15807614.

Almost surely, 2^68737858560 is an apocalyptic number.

68737858560 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 68737858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138909420000).

68737858560 is an abundant number, since it is smaller than the sum of its proper divisors (209080981440).

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

68737858560 is a wasteful number, since it uses less digits than its factorization.

68737858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 68737858560 in words is "sixty-eight billion, seven hundred thirty-seven million, eight hundred fifty-eight thousand, five hundred sixty".