645326352000 has 1536 divisors, whose sum is σ = 2668938854400. Its totient is φ = 153653760000.

The previous prime is 645326351893. The next prime is 645326352001. The reversal of 645326352000 is 253623546.

645326352000 is a `hidden beast` number, since 6 + 45 + 32 + 63 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×645326352000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645326352001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3378671905 + ... + 3378672095.

It is an arithmetic number, because the mean of its divisors is an integer number (1737590400).

Almost surely, 2^645326352000 is an apocalyptic number.

645326352000 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 645326352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334469427200).

645326352000 is an abundant number, since it is smaller than the sum of its proper divisors (2023612502400).

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

645326352000 is a wasteful number, since it uses less digits than its factorization.

645326352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 645326352000 its reverse (253623546), we get a palindrome (645579975546).

The spelling of 645326352000 in words is "six hundred forty-five billion, three hundred twenty-six million, three hundred fifty-two thousand".