6495012864 has 288 divisors, whose sum is σ = 20128792320. Its totient is φ = 2090188800.

The previous prime is 6495012851. The next prime is 6495012899. The reversal of 6495012864 is 4682105946.

6495012864 is a `hidden beast` number, since 64 + 9 + 501 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427374 + ... + 15427794.

It is an arithmetic number, because the mean of its divisors is an integer number (69891640).

Almost surely, 2^6495012864 is an apocalyptic number.

6495012864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6495012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064396160).

6495012864 is an abundant number, since it is smaller than the sum of its proper divisors (13633779456).

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

6495012864 is an equidigital number, since it uses as much as digits as its factorization.

6495012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6495012864 is about 80591.6426436389. The cubic root of 6495012864 is about 1865.7781603709.

The spelling of 6495012864 in words is "six billion, four hundred ninety-five million, twelve thousand, eight hundred sixty-four".