68632934400 has 432 divisors, whose sum is σ = 251107365600. Its totient is φ = 17907056640.

The previous prime is 68632934399. The next prime is 68632934411. The reversal of 68632934400 is 443923686.

68632934400 is a `hidden beast` number, since 6 + 8 + 632 + 9 + 3 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21656016 + ... + 21659184.

It is an arithmetic number, because the mean of its divisors is an integer number (581267050).

Almost surely, 2^68632934400 is an apocalyptic number.

68632934400 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 68632934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125553682800).

68632934400 is an abundant number, since it is smaller than the sum of its proper divisors (182474431200).

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

68632934400 is a wasteful number, since it uses less digits than its factorization.

68632934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 68632934400 in words is "sixty-eight billion, six hundred thirty-two million, nine hundred thirty-four thousand, four hundred".