74195870400 has 294 divisors, whose sum is σ = 273731405292. Its totient is φ = 19785254400.

The previous prime is 74195870393. The next prime is 74195870477. The reversal of 74195870400 is 407859147.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1134595 + ... + 1198205.

Almost surely, 2^74195870400 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 74195870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136865702646).

74195870400 is an abundant number, since it is smaller than the sum of its proper divisors (199535534892).

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

74195870400 is an equidigital number, since it uses as much as digits as its factorization.

74195870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63651 (or 63621 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 74195870400 in words is "seventy-four billion, one hundred ninety-five million, eight hundred seventy thousand, four hundred".