68137633584 has 120 divisors (see below), whose sum is σ = 202736532960. Its totient is φ = 21315081216.

The previous prime is 68137633583. The next prime is 68137633667. The reversal of 68137633584 is 48533673186.

It is a super-2 number, since 2×68137633584² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68137633584.

It is not an unprimeable number, because it can be changed into a prime (68137633583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18549 + ... + 369620.

It is an arithmetic number, because the mean of its divisors is an integer number (1689471108).

Almost surely, 2^68137633584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68137633584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368266480).

68137633584 is an abundant number, since it is smaller than the sum of its proper divisors (134598899376).

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

68137633584 is a wasteful number, since it uses less digits than its factorization.

68137633584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388259 (or 388250 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 68137633584 in words is "sixty-eight billion, one hundred thirty-seven million, six hundred thirty-three thousand, five hundred eighty-four".