648806400 has 342 divisors, whose sum is σ = 2535451932. Its totient is φ = 157286400.

The previous prime is 648806399. The next prime is 648806413. The reversal of 648806400 is 4608846.

648806400 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 0 + 640 + 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58982395 + ... + 58982405.

Almost surely, 2^648806400 is an apocalyptic number.

648806400 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 648806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267725966).

648806400 is an abundant number, since it is smaller than the sum of its proper divisors (1886645532).

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

648806400 is an equidigital number, since it uses as much as digits as its factorization.

648806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 648806400 is about 25471.6783899295. The cubic root of 648806400 is about 865.7085532785.

The spelling of 648806400 in words is "six hundred forty-eight million, eight hundred six thousand, four hundred".