74052403200 has 756 divisors, whose sum is σ = 284230120608. Its totient is φ = 19110297600.

The previous prime is 74052403177. The next prime is 74052403273. The reversal of 74052403200 is 230425047.

74052403200 is a `hidden beast` number, since 7 + 4 + 0 + 52 + 403 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2388787185 + ... + 2388787215.

It is an arithmetic number, because the mean of its divisors is an integer number (375965768).

Almost surely, 2^74052403200 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 74052403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142115060304).

74052403200 is an abundant number, since it is smaller than the sum of its proper divisors (210177717408).

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

74052403200 is an frugal number, since it uses more digits than its factorization.

74052403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 74052403200 its reverse (230425047), we get a palindrome (74282828247).

The spelling of 74052403200 in words is "seventy-four billion, fifty-two million, four hundred three thousand, two hundred".