645498685440000 has 7200 divisors, whose sum is σ = 3024736554470400. Its totient is φ = 135258439680000.

The previous prime is 645498685439977. The next prime is 645498685440019. The reversal of 645498685440000 is 44586894546.

645498685440000 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 9 + 86 + 8 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 645498685440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12179220479974 + ... + 12179220480026.

It is an arithmetic number, because the mean of its divisors is an integer number (420102299232).

Almost surely, 2^{645498685440000} is an apocalyptic number.

645498685440000 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 645498685440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512368277235200).

645498685440000 is an abundant number, since it is smaller than the sum of its proper divisors (2379237869030400).

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

645498685440000 is an equidigital number, since it uses as much as digits as its factorization.

645498685440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 645498685440000 in words is "six hundred forty-five trillion, four hundred ninety-eight billion, six hundred eighty-five million, four hundred forty thousand".