68388431680800 has 5184 divisors, whose sum is σ = 336201118501248. Its totient is φ = 12881756160000.

The previous prime is 68388431680757. The next prime is 68388431680819. The reversal of 68388431680800 is 808613488386.

68388431680800 is a `hidden beast` number, since 68 + 3 + 8 + 8 + 431 + 68 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×68388431680800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 354344205504 + ... + 354344205696.

It is an arithmetic number, because the mean of its divisors is an integer number (64853610822).

Almost surely, 2^{68388431680800} is an apocalyptic number.

68388431680800 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 68388431680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168100559250624).

68388431680800 is an abundant number, since it is smaller than the sum of its proper divisors (267812686820448).

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

68388431680800 is a wasteful number, since it uses less digits than its factorization.

68388431680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 68388431680800 in words is "sixty-eight trillion, three hundred eighty-eight billion, four hundred thirty-one million, six hundred eighty thousand, eight hundred".