645053220000 has 1440 divisors, whose sum is σ = 2767006674432. Its totient is φ = 144726912000.

The previous prime is 645053219989. The next prime is 645053220001. The reversal of 645053220000 is 22350546.

645053220000 is a `hidden beast` number, since 6 + 450 + 5 + 3 + 2 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (645053220001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2279339859 + ... + 2279340141.

Almost surely, 2^645053220000 is an apocalyptic number.

645053220000 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 645053220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383503337216).

645053220000 is an abundant number, since it is smaller than the sum of its proper divisors (2121953454432).

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

645053220000 is an equidigital number, since it uses as much as digits as its factorization.

645053220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 645053220000 its reverse (22350546), we get a palindrome (645075570546).

The spelling of 645053220000 in words is "six hundred forty-five billion, fifty-three million, two hundred twenty thousand".