73120486464 has 189 divisors, whose sum is σ = 221571766533. Its totient is φ = 23051741184.

The previous prime is 73120486441. The next prime is 73120486477. The reversal of 73120486464 is 46468402137.

The square root of 73120486464 is 270408.

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

73120486464 is a `hidden beast` number, since 7 + 3 + 120 + 486 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44960961600 + 28159524864 = 212040^2 + 167808^2 .

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, 123305752 + ... + 123306344.

Almost surely, 2^73120486464 is an apocalyptic number.

73120486464 is the 270408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73120486464

73120486464 is an abundant number, since it is smaller than the sum of its proper divisors (148451280069).

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

73120486464 is an equidigital number, since it uses as much as digits as its factorization.

73120486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 73120486464 in words is "seventy-three billion, one hundred twenty million, four hundred eighty-six thousand, four hundred sixty-four".