648090331200 has 840 divisors, whose sum is σ = 2577649269888. Its totient is φ = 159429150720.

The previous prime is 648090331171. The next prime is 648090331223. The reversal of 648090331200 is 2133090846.

648090331200 is a `hidden beast` number, since 648 + 0 + 9 + 0 + 3 + 3 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409405609 + ... + 409407191.

Almost surely, 2^648090331200 is an apocalyptic number.

648090331200 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 648090331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288824634944).

648090331200 is an abundant number, since it is smaller than the sum of its proper divisors (1929558938688).

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

648090331200 is an equidigital number, since it uses as much as digits as its factorization.

648090331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 648090331200 in words is "six hundred forty-eight billion, ninety million, three hundred thirty-one thousand, two hundred".