68142440584400 has 180 divisors, whose sum is σ = 202599055143072. Its totient is φ = 21565959068160.

The previous prime is 68142440584321. The next prime is 68142440584411. The reversal of 68142440584400 is 448504424186.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 71528534 + ... + 72474933.

Almost surely, 2^{68142440584400} is an apocalyptic number.

It is an amenable number.

68142440584400 is an abundant number, since it is smaller than the sum of its proper divisors (134456614558672).

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

68142440584400 is a wasteful number, since it uses less digits than its factorization.

68142440584400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144003518 (or 144003494 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 50.

The spelling of 68142440584400 in words is "sixty-eight trillion, one hundred forty-two billion, four hundred forty million, five hundred eighty-four thousand, four hundred".