74829004800 has 480 divisors, whose sum is σ = 271488650400. Its totient is φ = 18035507200.

The previous prime is 74829004729. The next prime is 74829004813. The reversal of 74829004800 is 840092847.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432537514 + ... + 432537686.

It is an arithmetic number, because the mean of its divisors is an integer number (565601355).

Almost surely, 2^74829004800 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 74829004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135744325200).

74829004800 is an abundant number, since it is smaller than the sum of its proper divisors (196659645600).

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

74829004800 is an equidigital number, since it uses as much as digits as its factorization.

74829004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 74829004800 in words is "seventy-four billion, eight hundred twenty-nine million, four thousand, eight hundred".