73755696400 has 135 divisors (see below), whose sum is σ = 182614216239. Its totient is φ = 28626704640.

The previous prime is 73755696367. The next prime is 73755696401. The reversal of 73755696400 is 469655737.

It is a happy number.

The square root of 73755696400 is 271580.

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 7001672976 + 66754023424 = 83676^2 + 258368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73755696401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200969017 + ... + 200969383.

Almost surely, 2^73755696400 is an apocalyptic number.

73755696400 is the 271580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73755696400

73755696400 is an abundant number, since it is smaller than the sum of its proper divisors (108858519839).

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

73755696400 is an equidigital number, since it uses as much as digits as its factorization.

73755696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 73755696400 in words is "seventy-three billion, seven hundred fifty-five million, six hundred ninety-six thousand, four hundred".