71873320464 has 225 divisors, whose sum is σ = 228990789181. Its totient is φ = 21747623040.

The previous prime is 71873320457. The next prime is 71873320531. The reversal of 71873320464 is 46402337817.

The square root of 71873320464 is 268092.

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

71873320464 is a `hidden beast` number, since 7 + 187 + 3 + 3 + 2 + 0 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71449290000 + 424030464 = 267300^2 + 20592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 106164094 + ... + 106164770.

Almost surely, 2^71873320464 is an apocalyptic number.

71873320464 is the 268092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71873320464

71873320464 is an abundant number, since it is smaller than the sum of its proper divisors (157117468717).

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

71873320464 is an equidigital number, since it uses as much as digits as its factorization.

71873320464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 71873320464 in words is "seventy-one billion, eight hundred seventy-three million, three hundred twenty thousand, four hundred sixty-four".