648265200768 has 384 divisors, whose sum is σ = 2010696171120. Its totient is φ = 199745077248.

The previous prime is 648265200761. The next prime is 648265200833. The reversal of 648265200768 is 867002562846.

648265200768 is a `hidden beast` number, since 6 + 48 + 2 + 6 + 520 + 0 + 76 + 8 = 666.

648265200768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 139941831744 + 508323369024 = 374088^2 + 712968^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (648265200761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396007246 + ... + 396008882.

Almost surely, 2^648265200768 is an apocalyptic number.

648265200768 is a gapful number since it is divisible by the number (68) 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 648265200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005348085560).

648265200768 is an abundant number, since it is smaller than the sum of its proper divisors (1362430970352).

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

648265200768 is a wasteful number, since it uses less digits than its factorization.

648265200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 648265200768 in words is "six hundred forty-eight billion, two hundred sixty-five million, two hundred thousand, seven hundred sixty-eight".