6647671296 has 480 divisors, whose sum is σ = 24129705600. Its totient is φ = 1783627776.

The previous prime is 6647671271. The next prime is 6647671309. The reversal of 6647671296 is 6921767466.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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 47 ways as a sum of consecutive naturals, for example, 14805280 + ... + 14805728.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^6647671296 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 6647671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6647671296 is an abundant number, since it is smaller than the sum of its proper divisors (17482034304).

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

6647671296 is an equidigital number, since it uses as much as digits as its factorization.

6647671296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 478 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 6647671296 is about 81533.2527009686. The cubic root of 6647671296 is about 1880.2828245092.

The spelling of 6647671296 in words is "six billion, six hundred forty-seven million, six hundred seventy-one thousand, two hundred ninety-six".