6452563824 has 180 divisors, whose sum is σ = 21454546464. Its totient is φ = 1804271616.

The previous prime is 6452563801. The next prime is 6452563867. The reversal of 6452563824 is 4283652546.

6452563824 is a `hidden beast` number, since 6 + 4 + 5 + 2 + 5 + 638 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6452563824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321904 + ... + 341360.

Almost surely, 2^6452563824 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 6452563824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727273232).

6452563824 is an abundant number, since it is smaller than the sum of its proper divisors (15001982640).

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

6452563824 is a wasteful number, since it uses less digits than its factorization.

6452563824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19532 (or 19516 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 6452563824 is about 80327.8521062278. The cubic root of 6452563824 is about 1861.7045906690.

The spelling of 6452563824 in words is "six billion, four hundred fifty-two million, five hundred sixty-three thousand, eight hundred twenty-four".