68234027400 has 960 divisors, whose sum is σ = 311122944000. Its totient is φ = 13427596800.

The previous prime is 68234027377. The next prime is 68234027441. The reversal of 68234027400 is 472043286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23699161 + ... + 23702039.

It is an arithmetic number, because the mean of its divisors is an integer number (324086400).

Almost surely, 2^68234027400 is an apocalyptic number.

68234027400 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 68234027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472000).

68234027400 is an abundant number, since it is smaller than the sum of its proper divisors (242888916600).

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

68234027400 is a wasteful number, since it uses less digits than its factorization.

68234027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 68234027400 in words is "sixty-eight billion, two hundred thirty-four million, twenty-seven thousand, four hundred".