648264352000 has 72 divisors (see below), whose sum is σ = 1614907613592. Its totient is φ = 259305728000.

The previous prime is 648264351893. The next prime is 648264352003. The reversal of 648264352000 is 253462846.

It can be written as a sum of positive squares in 4 ways, for example, as 104965632256 + 543298719744 = 323984^2 + 737088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (648264352003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10097131 + ... + 10161130.

It is an arithmetic number, because the mean of its divisors is an integer number (22429272411).

Almost surely, 2^648264352000 is an apocalyptic number.

It is an amenable number.

648264352000 is an abundant number, since it is smaller than the sum of its proper divisors (966643261592).

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

648264352000 is an equidigital number, since it uses as much as digits as its factorization.

648264352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20258292 (or 20258268 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 648264352000 in words is "six hundred forty-eight billion, two hundred sixty-four million, three hundred fifty-two thousand".