6497874960 has 40 divisors (see below), whose sum is σ = 20143413120. Its totient is φ = 1732766592.

The previous prime is 6497874941. The next prime is 6497875073. The reversal of 6497874960 is 694787946.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6497874894 and 6497874903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13537000 + ... + 13537479.

It is an arithmetic number, because the mean of its divisors is an integer number (503585328).

Almost surely, 2^6497874960 is an apocalyptic number.

6497874960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6497874960 is an abundant number, since it is smaller than the sum of its proper divisors (13645538160).

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

6497874960 is a wasteful number, since it uses less digits than its factorization.

6497874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27074495 (or 27074489 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 6497874960 is about 80609.3974670447. The cubic root of 6497874960 is about 1866.0521784077.

The spelling of 6497874960 in words is "six billion, four hundred ninety-seven million, eight hundred seventy-four thousand, nine hundred sixty".