73456557700 has 72 divisors (see below), whose sum is σ = 161304566472. Its totient is φ = 29032673280.

The previous prime is 73456557679. The next prime is 73456557739. The reversal of 73456557700 is 775565437.

It can be written as a sum of positive squares in 12 ways, for example, as 16013890116 + 57442667584 = 126546^2 + 239672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328302 + ... + 6339898.

It is an arithmetic number, because the mean of its divisors is an integer number (2240341201).

Almost surely, 2^73456557700 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 73456557700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80652283236).

73456557700 is an abundant number, since it is smaller than the sum of its proper divisors (87848008772).

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

73456557700 is a wasteful number, since it uses less digits than its factorization.

73456557700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 49.

The spelling of 73456557700 in words is "seventy-three billion, four hundred fifty-six million, five hundred fifty-seven thousand, seven hundred".