648384000 has 320 divisors, whose sum is σ = 2359348992. Its totient is φ = 156672000.

The previous prime is 648383969. The next prime is 648384043. The reversal of 648384000 is 483846.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×648384000² = 840803622912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111847 + ... + 2112153.

Almost surely, 2^648384000 is an apocalyptic number.

648384000 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 648384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179674496).

648384000 is an abundant number, since it is smaller than the sum of its proper divisors (1710964992).

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

648384000 is a wasteful number, since it uses less digits than its factorization.

648384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 648384000 is about 25463.3854779760. The cubic root of 648384000 is about 865.5206417134.

The spelling of 648384000 in words is "six hundred forty-eight million, three hundred eighty-four thousand".