73186480900 has 81 divisors (see below), whose sum is σ = 172053586173. Its totient is φ = 27009715200.

The previous prime is 73186480877. The next prime is 73186480901. The reversal of 73186480900 is 908468137.

It is a happy number.

The square root of 73186480900 is 270530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 71945187076 + 1241293824 = 268226^2 + 35232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73186480901) 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, 35167860 + ... + 35169940.

Almost surely, 2^73186480900 is an apocalyptic number.

73186480900 is the 270530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73186480900

73186480900 is an abundant number, since it is smaller than the sum of its proper divisors (98867105273).

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

73186480900 is a wasteful number, since it uses less digits than its factorization.

73186480900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 73186480900 in words is "seventy-three billion, one hundred eighty-six million, four hundred eighty thousand, nine hundred".