648034732800 has 2592 divisors, whose sum is σ = 3125700497920. Its totient is φ = 128994508800.

The previous prime is 648034732799. The next prime is 648034732811. The reversal of 648034732800 is 8237430846.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2688940680 + ... + 2688940920.

Almost surely, 2^648034732800 is an apocalyptic number.

648034732800 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 648034732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562850248960).

648034732800 is an abundant number, since it is smaller than the sum of its proper divisors (2477665765120).

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

648034732800 is a wasteful number, since it uses less digits than its factorization.

648034732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 648034732800 in words is "six hundred forty-eight billion, thirty-four million, seven hundred thirty-two thousand, eight hundred".