6874317659664 has 495 divisors, whose sum is σ = 24304311649293. Its totient is φ = 1813006855296.

The previous prime is 6874317659653. The next prime is 6874317659683. The reversal of 6874317659664 is 4669567134786.

The square root of 6874317659664 is 2621892.

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

6874317659664 is a `hidden beast` number, since 6 + 87 + 431 + 7 + 6 + 59 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1016910896400 + 5857406763264 = 1008420^2 + 2420208^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6874317659592 and 6874317659601.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 528793666122 + ... + 528793666134.

Almost surely, 2^{6874317659664} is an apocalyptic number.

6874317659664 is the 2621892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6874317659664

6874317659664 is an abundant number, since it is smaller than the sum of its proper divisors (17429993989629).

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

6874317659664 is an frugal number, since it uses more digits than its factorization.

6874317659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 25 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 6874317659664 in words is "six trillion, eight hundred seventy-four billion, three hundred seventeen million, six hundred fifty-nine thousand, six hundred sixty-four".