648861696000 has 1440 divisors, whose sum is σ = 2755875612672. Its totient is φ = 143799091200.

The previous prime is 648861695921. The next prime is 648861696013. The reversal of 648861696000 is 696168846.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6064127947 + ... + 6064128053.

Almost surely, 2^648861696000 is an apocalyptic number.

648861696000 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 648861696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377937806336).

648861696000 is an abundant number, since it is smaller than the sum of its proper divisors (2107013916672).

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

648861696000 is a wasteful number, since it uses less digits than its factorization.

648861696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 648861696000 in words is "six hundred forty-eight billion, eight hundred sixty-one million, six hundred ninety-six thousand".