6488268696 has 512 divisors, whose sum is σ = 23233996800. Its totient is φ = 1632337920.

The previous prime is 6488268601. The next prime is 6488268701. The reversal of 6488268696 is 6968628846.

6488268696 is a `hidden beast` number, since 6 + 488 + 2 + 68 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (47775744) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66889320 + ... + 66889416.

It is an arithmetic number, because the mean of its divisors is an integer number (45378900).

Almost surely, 2^6488268696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488268696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616998400).

6488268696 is an abundant number, since it is smaller than the sum of its proper divisors (16745728104).

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

6488268696 is a wasteful number, since it uses less digits than its factorization.

6488268696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The square root of 6488268696 is about 80549.7901673245. The cubic root of 6488268696 is about 1865.1321529692.

The spelling of 6488268696 in words is "six billion, four hundred eighty-eight million, two hundred sixty-eight thousand, six hundred ninety-six".