648905163840 has 672 divisors, whose sum is σ = 2435741168640. Its totient is φ = 157958553600.

The previous prime is 648905163817. The next prime is 648905163853. The reversal of 648905163840 is 48361509846.

648905163840 is a `hidden beast` number, since 6 + 4 + 8 + 90 + 516 + 38 + 4 + 0 = 666.

It is a super-3 number, since 3×648905163840³ (a number of 36 digits) contains 333 as substring.

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, 469879950 + ... + 469881330.

Almost surely, 2^648905163840 is an apocalyptic number.

648905163840 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 648905163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217870584320).

648905163840 is an abundant number, since it is smaller than the sum of its proper divisors (1786836004800).

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

648905163840 is a wasteful number, since it uses less digits than its factorization.

648905163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 648905163840 in words is "six hundred forty-eight billion, nine hundred five million, one hundred sixty-three thousand, eight hundred forty".