6497649664 has 99 divisors (see below), whose sum is σ = 14339732421. Its totient is φ = 2940579840.

The previous prime is 6497649647. The next prime is 6497649671. The reversal of 6497649664 is 4669467946.

The square root of 6497649664 is 80608.

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

It can be written as a sum of positive squares in only one way, i.e., 6051595264 + 446054400 = 77792^2 + 21120^2 .

It is a Duffinian number.

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, 28373902 + ... + 28374130.

Almost surely, 2^6497649664 is an apocalyptic number.

6497649664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6497649664 is the 80608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497649664

6497649664 is an abundant number, since it is smaller than the sum of its proper divisors (7842082757).

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

6497649664 is an equidigital number, since it uses as much as digits as its factorization.

6497649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 242 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 61.

The cubic root of 6497649664 is about 1866.0306114106.

The spelling of 6497649664 in words is "six billion, four hundred ninety-seven million, six hundred forty-nine thousand, six hundred sixty-four".