645658365000 has 320 divisors, whose sum is σ = 2254095708480. Its totient is φ = 152704000000.

The previous prime is 645658364977. The next prime is 645658365007. The reversal of 645658365000 is 563856546.

It is not an unprimeable number, because it can be changed into a prime (645658365007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6717280 + ... + 6812720.

It is an arithmetic number, because the mean of its divisors is an integer number (7044049089).

Almost surely, 2^645658365000 is an apocalyptic number.

645658365000 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 645658365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127047854240).

645658365000 is an abundant number, since it is smaller than the sum of its proper divisors (1608437343480).

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

645658365000 is a wasteful number, since it uses less digits than its factorization.

645658365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95522 (or 95503 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 645658365000 in words is "six hundred forty-five billion, six hundred fifty-eight million, three hundred sixty-five thousand".