74126146800 has 480 divisors, whose sum is σ = 250308979200. Its totient is φ = 18734284800.

The previous prime is 74126146763. The next prime is 74126146811. The reversal of 74126146800 is 864162147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372493101 + ... + 372493299.

It is an arithmetic number, because the mean of its divisors is an integer number (521477040).

Almost surely, 2^74126146800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74126146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125154489600).

74126146800 is an abundant number, since it is smaller than the sum of its proper divisors (176182832400).

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

74126146800 is a wasteful number, since it uses less digits than its factorization.

74126146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 74126146800 in words is "seventy-four billion, one hundred twenty-six million, one hundred forty-six thousand, eight hundred".