393609984768 has 2016 divisors, whose sum is σ = 1651440806400. Its totient is φ = 92177326080.

The previous prime is 393609984767. The next prime is 393609984787. The reversal of 393609984768 is 867489906393.

393609984768 is a `hidden beast` number, since 3 + 9 + 3 + 60 + 9 + 98 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 393609984696 and 393609984705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393609984763) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9153720555 + ... + 9153720597.

Almost surely, 2^393609984768 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 393609984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825720403200).

393609984768 is an abundant number, since it is smaller than the sum of its proper divisors (1257830821632).

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

393609984768 is an equidigital number, since it uses as much as digits as its factorization.

393609984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 393609984768 in words is "three hundred ninety-three billion, six hundred nine million, nine hundred eighty-four thousand, seven hundred sixty-eight".