68638292800 has 336 divisors, whose sum is σ = 219732221952. Its totient is φ = 20462745600.

The previous prime is 68638292773. The next prime is 68638292819. The reversal of 68638292800 is 829283686.

It is a happy number.

It is a super-2 number, since 2×68638292800² (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 47 ways as a sum of consecutive naturals, for example, 2821489 + ... + 2845711.

Almost surely, 2^68638292800 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 68638292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109866110976).

68638292800 is an abundant number, since it is smaller than the sum of its proper divisors (151093929152).

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

68638292800 is a wasteful number, since it uses less digits than its factorization.

68638292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24286 (or 24271 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 68638292800 in words is "sixty-eight billion, six hundred thirty-eight million, two hundred ninety-two thousand, eight hundred".