68137788672 has 216 divisors, whose sum is σ = 213640952616. Its totient is φ = 20798373888.

The previous prime is 68137788629. The next prime is 68137788701. The reversal of 68137788672 is 27688773186.

It can be written as a sum of positive squares in 4 ways, for example, as 52598670336 + 15539118336 = 229344^2 + 124656^2 .

It is a super-2 number, since 2×68137788672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425708 + ... + 1472724.

Almost surely, 2^68137788672 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 68137788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106820476308).

68137788672 is an abundant number, since it is smaller than the sum of its proper divisors (145503163944).

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

68137788672 is a wasteful number, since it uses less digits than its factorization.

68137788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47093 (or 47076 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 68137788672 in words is "sixty-eight billion, one hundred thirty-seven million, seven hundred eighty-eight thousand, six hundred seventy-two".