648964800 has 504 divisors, whose sum is σ = 2675333232. Its totient is φ = 147456000.

The previous prime is 648964733. The next prime is 648964801. The reversal of 648964800 is 8469846.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (648964801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692680 + ... + 2692920.

Almost surely, 2^648964800 is an apocalyptic number.

648964800 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 648964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337666616).

648964800 is an abundant number, since it is smaller than the sum of its proper divisors (2026368432).

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

648964800 is a wasteful number, since it uses less digits than its factorization.

648964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 648964800 is about 25474.7875359148. The cubic root of 648964800 is about 865.7789990883.

It can be divided in two parts, 64896 and 4800, that added together give a palindrome (69696).

The spelling of 648964800 in words is "six hundred forty-eight million, nine hundred sixty-four thousand, eight hundred".