6715882616004 has 243 divisors, whose sum is σ = 18033552158349. Its totient is φ = 2107202106240.

The previous prime is 6715882615997. The next prime is 6715882616063. The reversal of 6715882616004 is 4006162885176.

The square root of 6715882616004 is 2591502.

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

6715882616004 is a `hidden beast` number, since 6 + 7 + 1 + 5 + 8 + 8 + 26 + 1 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1289591902404 + 5426290713600 = 1135602^2 + 2329440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31828827459 + ... + 31828827669.

Almost surely, 2^{6715882616004} is an apocalyptic number.

6715882616004 is the 2591502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6715882616004

6715882616004 is an abundant number, since it is smaller than the sum of its proper divisors (11317669542345).

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

6715882616004 is a wasteful number, since it uses less digits than its factorization.

6715882616004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 6715882616004 in words is "six trillion, seven hundred fifteen billion, eight hundred eighty-two million, six hundred sixteen thousand, four".