645959113113600 has 6048 divisors, whose sum is σ = 2960540936252928. Its totient is φ = 137594142720000.

The previous prime is 645959113113551. The next prime is 645959113113619. The reversal of 645959113113600 is 6311311959546.

645959113113600 is a `hidden beast` number, since 6 + 4 + 5 + 9 + 5 + 9 + 1 + 13 + 1 + 13 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10589493657570 + ... + 10589493657630.

It is an arithmetic number, because the mean of its divisors is an integer number (489507429936).

Almost surely, 2^{645959113113600} is an apocalyptic number.

645959113113600 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 645959113113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480270468126464).

645959113113600 is an abundant number, since it is smaller than the sum of its proper divisors (2314581823139328).

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

645959113113600 is an equidigital number, since it uses as much as digits as its factorization.

645959113113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 645959113113600 in words is "six hundred forty-five trillion, nine hundred fifty-nine billion, one hundred thirteen million, one hundred thirteen thousand, six hundred".