6476563259640 has 256 divisors, whose sum is σ = 21909450240000. Its totient is φ = 1701448519680.

The previous prime is 6476563259629. The next prime is 6476563259641. The reversal of 6476563259640 is 469523656746.

6476563259640 is a `hidden beast` number, since 6 + 4 + 7 + 6 + 5 + 6 + 32 + 596 + 4 + 0 = 666.

It is a super-2 number, since 2×6476563259640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6476563259641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101722536 + ... + 101786184.

It is an arithmetic number, because the mean of its divisors is an integer number (85583790000).

Almost surely, 2^{6476563259640} is an apocalyptic number.

6476563259640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6476563259640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954725120000).

6476563259640 is an abundant number, since it is smaller than the sum of its proper divisors (15432886980360).

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

6476563259640 is a wasteful number, since it uses less digits than its factorization.

6476563259640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65067 (or 65057 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 6476563259640 in words is "six trillion, four hundred seventy-six billion, five hundred sixty-three million, two hundred fifty-nine thousand, six hundred forty".