395870727168 has 660 divisors, whose sum is σ = 1384144308360. Its totient is φ = 112368549888.

The previous prime is 395870727157. The next prime is 395870727221. The reversal of 395870727168 is 861727078593.

395870727168 is a `hidden beast` number, since 39 + 587 + 0 + 7 + 2 + 7 + 16 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1044513603 + ... + 1044513981.

It is an arithmetic number, because the mean of its divisors is an integer number (2097188346).

Almost surely, 2^395870727168 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 395870727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692072154180).

395870727168 is an abundant number, since it is smaller than the sum of its proper divisors (988273581192).

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

395870727168 is a wasteful number, since it uses less digits than its factorization.

395870727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 395870727168 in words is "three hundred ninety-five billion, eight hundred seventy million, seven hundred twenty-seven thousand, one hundred sixty-eight".