648563260800 has 768 divisors, whose sum is σ = 2648855462400. Its totient is φ = 135815823360.

The previous prime is 648563260777. The next prime is 648563260837. The reversal of 648563260800 is 8062365846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 648563260800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119680491 + ... + 119685909.

It is an arithmetic number, because the mean of its divisors is an integer number (3449030550).

Almost surely, 2^648563260800 is an apocalyptic number.

648563260800 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 648563260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324427731200).

648563260800 is an abundant number, since it is smaller than the sum of its proper divisors (2000292201600).

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

648563260800 is a wasteful number, since it uses less digits than its factorization.

648563260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 648563260800 in words is "six hundred forty-eight billion, five hundred sixty-three million, two hundred sixty thousand, eight hundred".