68388113664 has 432 divisors, whose sum is σ = 224901156480. Its totient is φ = 19833569280.

The previous prime is 68388113659. The next prime is 68388113671. The reversal of 68388113664 is 46631188386.

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 68388113664.

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, 37349229 + ... + 37351059.

Almost surely, 2^68388113664 is an apocalyptic number.

68388113664 is a gapful number since it is divisible by the number (64) 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 68388113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112450578240).

68388113664 is an abundant number, since it is smaller than the sum of its proper divisors (156513042816).

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

68388113664 is a wasteful number, since it uses less digits than its factorization.

68388113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1921 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 68388113664 in words is "sixty-eight billion, three hundred eighty-eight million, one hundred thirteen thousand, six hundred sixty-four".