645306300120600 has 192 divisors, whose sum is σ = 2222738288100000. Its totient is φ = 172080395827200.

The previous prime is 645306300120583. The next prime is 645306300120619. The reversal of 645306300120600 is 6021003603546.

645306300120600 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 0 + 6 + 30 + 0 + 12 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886580820 + ... + 887308380.

Almost surely, 2^{645306300120600} is an apocalyptic number.

645306300120600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645306300120600 is an abundant number, since it is smaller than the sum of its proper divisors (1577431987979400).

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

645306300120600 is a wasteful number, since it uses less digits than its factorization.

645306300120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891835 (or 891820 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 645306300120600 in words is "six hundred forty-five trillion, three hundred six billion, three hundred million, one hundred twenty thousand, six hundred".