6455982624 has 288 divisors, whose sum is σ = 21580352640. Its totient is φ = 1645608960.

The previous prime is 6455982623. The next prime is 6455982647. The reversal of 6455982624 is 4262895546.

Its product of digits (4147200) is a multiple of the sum of its prime factors (864).

It is not an unprimeable number, because it can be changed into a prime (6455982623) 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 47 ways as a sum of consecutive naturals, for example, 8394912 + ... + 8395680.

It is an arithmetic number, because the mean of its divisors is an integer number (74931780).

Almost surely, 2^6455982624 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 6455982624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10790176320).

6455982624 is an abundant number, since it is smaller than the sum of its proper divisors (15124370016).

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

6455982624 is a wasteful number, since it uses less digits than its factorization.

6455982624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 825 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 6455982624 is about 80349.1295783595. The cubic root of 6455982624 is about 1862.0333319290.

The spelling of 6455982624 in words is "six billion, four hundred fifty-five million, nine hundred eighty-two thousand, six hundred twenty-four".