73483641507600 has 135 divisors (see below), whose sum is σ = 255010433053909. Its totient is φ = 19595500579200.

The previous prime is 73483641507583. The next prime is 73483641507667. The reversal of 73483641507600 is 670514638437.

It is a happy number.

The square root of 73483641507600 is 8572260.

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

73483641507600 is a `hidden beast` number, since 7 + 3 + 4 + 8 + 36 + 41 + 507 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26454110942736 + 47029530564864 = 5143356^2 + 6857808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 514264165 + ... + 514407035.

Almost surely, 2^{73483641507600} is an apocalyptic number.

73483641507600 is the 8572260-th square number.

It is an amenable number.

73483641507600 is an abundant number, since it is smaller than the sum of its proper divisors (181526791546309).

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

73483641507600 is an frugal number, since it uses more digits than its factorization.

73483641507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285766 (or 142881 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 73483641507600 in words is "seventy-three trillion, four hundred eighty-three billion, six hundred forty-one million, five hundred seven thousand, six hundred".