6476257120 has 96 divisors (see below), whose sum is σ = 15900143616. Its totient is φ = 2490048000.

The previous prime is 6476257097. The next prime is 6476257121. The reversal of 6476257120 is 217526746.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6476257121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 744637 + ... + 753283.

It is an arithmetic number, because the mean of its divisors is an integer number (165626496).

Almost surely, 2^6476257120 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 6476257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950071808).

6476257120 is an abundant number, since it is smaller than the sum of its proper divisors (9423886496).

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

6476257120 is a wasteful number, since it uses less digits than its factorization.

6476257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 6476257120 is about 80475.1956816509. The cubic root of 6476257120 is about 1863.9804838716.

The spelling of 6476257120 in words is "six billion, four hundred seventy-six million, two hundred fifty-seven thousand, one hundred twenty".