74820199104 has 336 divisors, whose sum is σ = 258580940800. Its totient is φ = 20206153728.

The previous prime is 74820199099. The next prime is 74820199117. The reversal of 74820199104 is 40199102847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 74820199104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46500252 + ... + 46501860.

Almost surely, 2^74820199104 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 74820199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129290470400).

74820199104 is an abundant number, since it is smaller than the sum of its proper divisors (183760741696).

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

74820199104 is a wasteful number, since it uses less digits than its factorization.

74820199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 74820199104 in words is "seventy-four billion, eight hundred twenty million, one hundred ninety-nine thousand, one hundred four".