6577315801716 has 48 divisors (see below), whose sum is σ = 16745569505280. Its totient is φ = 1992731821920.

The previous prime is 6577315801709. The next prime is 6577315801723. The reversal of 6577315801716 is 6171085137756.

It is an interprime number because it is at equal distance from previous prime (6577315801709) and next prime (6577315801723).

It is a super-2 number, since 2×6577315801716² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4256916 + ... + 5592491.

It is an arithmetic number, because the mean of its divisors is an integer number (348866031360).

Almost surely, 2^{6577315801716} is an apocalyptic number.

6577315801716 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6577315801716 is an abundant number, since it is smaller than the sum of its proper divisors (10168253703564).

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

6577315801716 is a wasteful number, since it uses less digits than its factorization.

6577315801716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854484 (or 9854482 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 57.

The spelling of 6577315801716 in words is "six trillion, five hundred seventy-seven billion, three hundred fifteen million, eight hundred one thousand, seven hundred sixteen".