68138132400 has 360 divisors, whose sum is σ = 258973893360. Its totient is φ = 16487516160.

The previous prime is 68138132399. The next prime is 68138132479. The reversal of 68138132400 is 423183186.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2748862 + ... + 2773538.

It is an arithmetic number, because the mean of its divisors is an integer number (719371926).

Almost surely, 2^68138132400 is an apocalyptic number.

68138132400 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 68138132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129486946680).

68138132400 is an abundant number, since it is smaller than the sum of its proper divisors (190835760960).

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

68138132400 is a wasteful number, since it uses less digits than its factorization.

68138132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 68138132400 in words is "sixty-eight billion, one hundred thirty-eight million, one hundred thirty-two thousand, four hundred".