648900994560 has 1920 divisors, whose sum is σ = 2783701831680. Its totient is φ = 127529385984.

The previous prime is 648900994549. The next prime is 648900994589. The reversal of 648900994560 is 65499009846.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 648900994494 and 648900994503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8213936601 + ... + 8213936679.

It is an arithmetic number, because the mean of its divisors is an integer number (1449844704).

Almost surely, 2^648900994560 is an apocalyptic number.

648900994560 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 648900994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391850915840).

648900994560 is an abundant number, since it is smaller than the sum of its proper divisors (2134800837120).

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

648900994560 is a wasteful number, since it uses less digits than its factorization.

648900994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 648900994560 in words is "six hundred forty-eight billion, nine hundred million, nine hundred ninety-four thousand, five hundred sixty".