6493961664 has 84 divisors (see below), whose sum is σ = 19593473640. Its totient is φ = 2050721280.

The previous prime is 6493961651. The next prime is 6493961671. The reversal of 6493961664 is 4661693946.

6493961664 is a `hidden beast` number, since 6 + 493 + 96 + 1 + 6 + 64 = 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 6493961664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285747 + ... + 307634.

Almost surely, 2^6493961664 is an apocalyptic number.

6493961664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6493961664 is an abundant number, since it is smaller than the sum of its proper divisors (13099511976).

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

6493961664 is a wasteful number, since it uses less digits than its factorization.

6493961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593418 (or 593405 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 6493961664 is about 80585.1206116861. The cubic root of 6493961664 is about 1865.6774979158.

The spelling of 6493961664 in words is "six billion, four hundred ninety-three million, nine hundred sixty-one thousand, six hundred sixty-four".