74518080400 has 45 divisors (see below), whose sum is σ = 179042805811. Its totient is φ = 29805048320.

The previous prime is 74518080383. The next prime is 74518080419. The reversal of 74518080400 is 408081547.

The square root of 74518080400 is 272980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23687672464 + 50830407936 = 153908^2 + 225456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74518080400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5452776 + ... + 5466424.

Almost surely, 2^74518080400 is an apocalyptic number.

74518080400 is the 272980-th square number.

It is an amenable number.

74518080400 is an abundant number, since it is smaller than the sum of its proper divisors (104524725411).

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

74518080400 is an frugal number, since it uses more digits than its factorization.

74518080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27316 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 74518080400 in words is "seventy-four billion, five hundred eighteen million, eighty thousand, four hundred".