645110640288 has 288 divisors, whose sum is σ = 1903770086400. Its totient is φ = 207087648768.

The previous prime is 645110640271. The next prime is 645110640319. The reversal of 645110640288 is 882046011546.

It is a happy number.

645110640288 is a `hidden beast` number, since 64 + 5 + 1 + 106 + 402 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 377477578 + ... + 377479286.

It is an arithmetic number, because the mean of its divisors is an integer number (6610312800).

Almost surely, 2^645110640288 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 645110640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951885043200).

645110640288 is an abundant number, since it is smaller than the sum of its proper divisors (1258659446112).

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

645110640288 is a wasteful number, since it uses less digits than its factorization.

645110640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 645110640288 in words is "six hundred forty-five billion, one hundred ten million, six hundred forty thousand, two hundred eighty-eight".