6618311921664 has 117 divisors (see below), whose sum is σ = 19118660714283. Its totient is φ = 2205939326976.

The previous prime is 6618311921651. The next prime is 6618311921671. The reversal of 6618311921664 is 4661291138166.

The square root of 6618311921664 is 2572608.

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

6618311921664 is a `hidden beast` number, since 6 + 618 + 3 + 1 + 1 + 9 + 2 + 16 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6618311921664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 493934037 + ... + 493947435.

Almost surely, 2^{6618311921664} is an apocalyptic number.

6618311921664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6618311921664 is the 2572608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6618311921664

6618311921664 is an abundant number, since it is smaller than the sum of its proper divisors (12500348792619).

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

6618311921664 is an frugal number, since it uses more digits than its factorization.

6618311921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26828 (or 13404 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 6618311921664 in words is "six trillion, six hundred eighteen billion, three hundred eleven million, nine hundred twenty-one thousand, six hundred sixty-four".