648160004136960 has 2688 divisors, whose sum is σ = 2865956922766080. Its totient is φ = 132074069557248.

The previous prime is 648160004136949. The next prime is 648160004137003. The reversal of 648160004136960 is 69631400061846.

648160004136960 is a `hidden beast` number, since 6 + 4 + 8 + 160 + 0 + 0 + 413 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×648160004136960² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 648160004136897 and 648160004136906.

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, 67425357114 + ... + 67425366726.

Almost surely, 2^{648160004136960} is an apocalyptic number.

648160004136960 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 648160004136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432978461383040).

648160004136960 is an abundant number, since it is smaller than the sum of its proper divisors (2217796918629120).

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

648160004136960 is a wasteful number, since it uses less digits than its factorization.

648160004136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 648160004136960 in words is "six hundred forty-eight trillion, one hundred sixty billion, four million, one hundred thirty-six thousand, nine hundred sixty".