645415002324 has 288 divisors, whose sum is σ = 1793381990400. Its totient is φ = 194916234240.

The previous prime is 645415002311. The next prime is 645415002329. The reversal of 645415002324 is 423200514546.

645415002324 is a `hidden beast` number, since 6 + 4 + 5 + 415 + 0 + 0 + 232 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645415002329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979385107 + ... + 979385765.

It is an arithmetic number, because the mean of its divisors is an integer number (6227020800).

Almost surely, 2^645415002324 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 645415002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896690995200).

645415002324 is an abundant number, since it is smaller than the sum of its proper divisors (1147966988076).

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

645415002324 is a wasteful number, since it uses less digits than its factorization.

645415002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 645415002324 in words is "six hundred forty-five billion, four hundred fifteen million, two thousand, three hundred twenty-four".