648559680000 has 1200 divisors, whose sum is σ = 2411845587360. Its totient is φ = 154275840000.

The previous prime is 648559679959. The next prime is 648559680017. The reversal of 648559680000 is 86955846.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17528639982 + ... + 17528640018.

Almost surely, 2^648559680000 is an apocalyptic number.

648559680000 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 648559680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205922793680).

648559680000 is an abundant number, since it is smaller than the sum of its proper divisors (1763285907360).

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

648559680000 is an equidigital number, since it uses as much as digits as its factorization.

648559680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 648559680000 in words is "six hundred forty-eight billion, five hundred fifty-nine million, six hundred eighty thousand".