648120000 has 280 divisors, whose sum is σ = 2342400192. Its totient is φ = 156800000.

The previous prime is 648119999. The next prime is 648120017. The reversal of 648120000 is 21846.

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 39 ways as a sum of consecutive naturals, for example, 1319755 + ... + 1320245.

Almost surely, 2^648120000 is an apocalyptic number.

648120000 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 648120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171200096).

648120000 is an abundant number, since it is smaller than the sum of its proper divisors (1694280192).

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

648120000 is a wasteful number, since it uses less digits than its factorization.

648120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 648120000 is about 25458.2010362084. The cubic root of 648120000 is about 865.4031555382.

Adding to 648120000 its reverse (21846), we get a palindrome (648141846).

The spelling of 648120000 in words is "six hundred forty-eight million, one hundred twenty thousand".