648518400 has 378 divisors, whose sum is σ = 2423989820. Its totient is φ = 171694080.

The previous prime is 648518359. The next prime is 648518401. The reversal of 648518400 is 4815846.

648518400 is a `hidden beast` number, since 648 + 5 + 1 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×648518400² = 841152230277120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (648518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665531 + ... + 4665669.

Almost surely, 2^648518400 is an apocalyptic number.

648518400 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 648518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211994910).

648518400 is an abundant number, since it is smaller than the sum of its proper divisors (1775471420).

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

648518400 is an equidigital number, since it uses as much as digits as its factorization.

648518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 648518400 is about 25466.0244247114. The cubic root of 648518400 is about 865.5804406070.

The spelling of 648518400 in words is "six hundred forty-eight million, five hundred eighteen thousand, four hundred".