6476259440 has 240 divisors, whose sum is σ = 18663760800. Its totient is φ = 2077802496.

The previous prime is 6476259397. The next prime is 6476259451. The reversal of 6476259440 is 449526746.

It is a super-2 number, since 2×6476259440² = 83883872668378227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6628232 + ... + 6629208.

It is an arithmetic number, because the mean of its divisors is an integer number (77765670).

Almost surely, 2^6476259440 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 6476259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331880400).

6476259440 is an abundant number, since it is smaller than the sum of its proper divisors (12187501360).

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

6476259440 is a wasteful number, since it uses less digits than its factorization.

6476259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The square root of 6476259440 is about 80475.2100960290. The cubic root of 6476259440 is about 1863.9807064505.

The spelling of 6476259440 in words is "six billion, four hundred seventy-six million, two hundred fifty-nine thousand, four hundred forty".