648371200 has 264 divisors, whose sum is σ = 1786949120. Its totient is φ = 232243200.

The previous prime is 648371179. The next prime is 648371201. The reversal of 648371200 is 2173846.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648371201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15078379 + ... + 15078421.

Almost surely, 2^648371200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893474560).

648371200 is an abundant number, since it is smaller than the sum of its proper divisors (1138577920).

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

648371200 is a wasteful number, since it uses less digits than its factorization.

648371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 648371200 is about 25463.1341354516. The cubic root of 648371200 is about 865.5149461497.

The spelling of 648371200 in words is "six hundred forty-eight million, three hundred seventy-one thousand, two hundred".