74808322400 has 144 divisors (see below), whose sum is σ = 210667516416. Its totient is φ = 25408657920.

The previous prime is 74808322373. The next prime is 74808322403. The reversal of 74808322400 is 422380847.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74808322403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536777 + ... + 661623.

It is an arithmetic number, because the mean of its divisors is an integer number (1462968864).

Almost surely, 2^74808322400 is an apocalyptic number.

74808322400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74808322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105333758208).

74808322400 is an abundant number, since it is smaller than the sum of its proper divisors (135859194016).

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

74808322400 is a wasteful number, since it uses less digits than its factorization.

74808322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124981 (or 124968 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 74808322400 in words is "seventy-four billion, eight hundred eight million, three hundred twenty-two thousand, four hundred".