645224580 has 288 divisors, whose sum is σ = 2628557568. Its totient is φ = 123724800.

The previous prime is 645224563. The next prime is 645224599. The reversal of 645224580 is 85422546.

It is a happy number.

645224580 is a `hidden beast` number, since 6 + 4 + 52 + 24 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 178390 + ... + 181970.

It is an arithmetic number, because the mean of its divisors is an integer number (9126936).

Almost surely, 2^645224580 is an apocalyptic number.

645224580 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 645224580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314278784).

645224580 is an abundant number, since it is smaller than the sum of its proper divisors (1983332988).

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

645224580 is a wasteful number, since it uses less digits than its factorization.

645224580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 645224580 is about 25401.2712280311. The cubic root of 645224580 is about 864.1125271391.

The spelling of 645224580 in words is "six hundred forty-five million, two hundred twenty-four thousand, five hundred eighty".