648817319808 has 480 divisors, whose sum is σ = 2263491945000. Its totient is φ = 183942420480.

The previous prime is 648817319749. The next prime is 648817319831. The reversal of 648817319808 is 808913718846.

648817319808 is a `hidden beast` number, since 6 + 488 + 1 + 73 + 1 + 9 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66547318 + ... + 66557066.

Almost surely, 2^648817319808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648817319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131745972500).

648817319808 is an abundant number, since it is smaller than the sum of its proper divisors (1614674625192).

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

648817319808 is a wasteful number, since it uses less digits than its factorization.

648817319808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 648817319808 in words is "six hundred forty-eight billion, eight hundred seventeen million, three hundred nineteen thousand, eight hundred eight".