73003716864 has 243 divisors, whose sum is σ = 228452165487. Its totient is φ = 22410805248.

The previous prime is 73003716833. The next prime is 73003716887. The reversal of 73003716864 is 46861730037.

The square root of 73003716864 is 270192.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40083243264 + 32920473600 = 200208^2 + 181440^2 .

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, 168599592 + ... + 168600024.

Almost surely, 2^73003716864 is an apocalyptic number.

73003716864 is the 270192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73003716864

73003716864 is an abundant number, since it is smaller than the sum of its proper divisors (155448448623).

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

73003716864 is an equidigital number, since it uses as much as digits as its factorization.

73003716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73003716864 in words is "seventy-three billion, three million, seven hundred sixteen thousand, eight hundred sixty-four".