6452506656 has 240 divisors, whose sum is σ = 19770524928. Its totient is φ = 2062195200.

The previous prime is 6452506637. The next prime is 6452506673. The reversal of 6452506656 is 6566052546.

It is a happy number.

6452506656 is a `hidden beast` number, since 64 + 525 + 0 + 6 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10525806 + ... + 10526418.

Almost surely, 2^6452506656 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 6452506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885262464).

6452506656 is an abundant number, since it is smaller than the sum of its proper divisors (13318018272).

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

6452506656 is a wasteful number, since it uses less digits than its factorization.

6452506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 6452506656 is about 80327.4962637328. The cubic root of 6452506656 is about 1861.6990925835.

The spelling of 6452506656 in words is "six billion, four hundred fifty-two million, five hundred six thousand, six hundred fifty-six".