68115587379840 has 4608 divisors, whose sum is σ = 332067158841600. Its totient is φ = 12641461862400.

The previous prime is 68115587379821. The next prime is 68115587379929. The reversal of 68115587379840 is 4897378551186.

68115587379840 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 5 + 587 + 37 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 179724504771 + ... + 179724505149.

Almost surely, 2^{68115587379840} is an apocalyptic number.

68115587379840 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 68115587379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166033579420800).

68115587379840 is an abundant number, since it is smaller than the sum of its proper divisors (263951571461760).

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

68115587379840 is a wasteful number, since it uses less digits than its factorization.

68115587379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 68115587379840 in words is "sixty-eight trillion, one hundred fifteen billion, five hundred eighty-seven million, three hundred seventy-nine thousand, eight hundred forty".