648648000 has 1120 divisors, whose sum is σ = 3221906688. Its totient is φ = 124416000.

The previous prime is 648647983. The next prime is 648648031. The reversal of 648648000 is 846846.

648648000 is a `hidden beast` number, since 6 + 4 + 8 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49895994 + ... + 49896006.

Almost surely, 2^648648000 is an apocalyptic number.

648648000 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 648648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610953344).

648648000 is an abundant number, since it is smaller than the sum of its proper divisors (2573258688).

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

648648000 is a wasteful number, since it uses less digits than its factorization.

648648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

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

The square root of 648648000 is about 25468.5688643865. The cubic root of 648648000 is about 865.6380960019.

The spelling of 648648000 in words is "six hundred forty-eight million, six hundred forty-eight thousand".