6395544976 has 40 divisors (see below), whose sum is σ = 13177694520. Its totient is φ = 2996496384.

The previous prime is 6395544917. The next prime is 6395544977. The reversal of 6395544976 is 6794455936.

It can be written as a sum of positive squares in 4 ways, for example, as 2603448576 + 3792096400 = 51024^2 + 61580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6395544976.

It is not an unprimeable number, because it can be changed into a prime (6395544977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10950 + ... + 113626.

It is an arithmetic number, because the mean of its divisors is an integer number (329442363).

Almost surely, 2^6395544976 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 6395544976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588847260).

6395544976 is an abundant number, since it is smaller than the sum of its proper divisors (6782149544).

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

6395544976 is a wasteful number, since it uses less digits than its factorization.

6395544976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102931 (or 102925 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 58.

The square root of 6395544976 is about 79972.1512527955. The cubic root of 6395544976 is about 1856.2046336625.

The spelling of 6395544976 in words is "six billion, three hundred ninety-five million, five hundred forty-four thousand, nine hundred seventy-six".