73599755740900 has 27 divisors (see below), whose sum is σ = 159711656122921. Its totient is φ = 29439867980240.

The previous prime is 73599755740817. The next prime is 73599755740933. The reversal of 73599755740900 is 904755799537.

It is a happy number.

The square root of 73599755740900 is 8579030.

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

It can be written as a sum of positive squares in only one way, i.e., 26495912066724 + 47103843674176 = 5147418^2 + 6863224^2 .

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 73599755740900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85361349 + ... + 86219251.

Almost surely, 2^{73599755740900} is an apocalyptic number.

73599755740900 is the 8579030-th square number.

It is an amenable number.

73599755740900 is an abundant number, since it is smaller than the sum of its proper divisors (86111900382021).

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

73599755740900 is an frugal number, since it uses more digits than its factorization.

73599755740900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715820 (or 857910 counting only the distinct ones).

The product of its (nonzero) digits is 375070500, while the sum is 70.

The spelling of 73599755740900 in words is "seventy-three trillion, five hundred ninety-nine billion, seven hundred fifty-five million, seven hundred forty thousand, nine hundred".