645097582080 has 2240 divisors, whose sum is σ = 2936859171840. Its totient is φ = 132434362368.

The previous prime is 645097582079. The next prime is 645097582109. The reversal of 645097582080 is 80285790546.

645097582080 is a `hidden beast` number, since 6 + 4 + 50 + 9 + 7 + 582 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 5708828104 + ... + 5708828216.

Almost surely, 2^645097582080 is an apocalyptic number.

645097582080 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 645097582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468429585920).

645097582080 is an abundant number, since it is smaller than the sum of its proper divisors (2291761589760).

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

645097582080 is a wasteful number, since it uses less digits than its factorization.

645097582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 645097582080 in words is "six hundred forty-five billion, ninety-seven million, five hundred eighty-two thousand, eighty".