74399404800 has 648 divisors, whose sum is σ = 294949788672. Its totient is φ = 16450560000.

The previous prime is 74399404777. The next prime is 74399404801. The reversal of 74399404800 is 840499347.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74399404800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74399404801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29163525 + ... + 29166075.

Almost surely, 2^74399404800 is an apocalyptic number.

74399404800 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 74399404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474894336).

74399404800 is an abundant number, since it is smaller than the sum of its proper divisors (220550383872).

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

74399404800 is a wasteful number, since it uses less digits than its factorization.

74399404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 74399404800 in words is "seventy-four billion, three hundred ninety-nine million, four hundred four thousand, eight hundred".