68876144640 has 624 divisors, whose sum is σ = 260717564160. Its totient is φ = 17246453760.

The previous prime is 68876144639. The next prime is 68876144669. The reversal of 68876144640 is 4644167886.

68876144640 is a `hidden beast` number, since 68 + 87 + 61 + 446 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 159805225 + ... + 159805655.

Almost surely, 2^68876144640 is an apocalyptic number.

68876144640 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 68876144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130358782080).

68876144640 is an abundant number, since it is smaller than the sum of its proper divisors (191841419520).

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

68876144640 is a wasteful number, since it uses less digits than its factorization.

68876144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68876144640 in words is "sixty-eight billion, eight hundred seventy-six million, one hundred forty-four thousand, six hundred forty".