645853824 has 320 divisors, whose sum is σ = 2399284800. Its totient is φ = 167546880.

The previous prime is 645853811. The next prime is 645853847. The reversal of 645853824 is 428358546.

645853824 is a `hidden beast` number, since 64 + 58 + 538 + 2 + 4 = 666.

645853824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 645853824.

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, 797932 + ... + 798740.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 2^645853824 is an apocalyptic number.

645853824 is a gapful number since it is divisible by the number (64) 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 645853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199642400).

645853824 is an abundant number, since it is smaller than the sum of its proper divisors (1753430976).

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

645853824 is a wasteful number, since it uses less digits than its factorization.

645853824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 832 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 645853824 is about 25413.6542826883. The cubic root of 645853824 is about 864.3933394220.

The spelling of 645853824 in words is "six hundred forty-five million, eight hundred fifty-three thousand, eight hundred twenty-four".