395782668288 has 1080 divisors, whose sum is σ = 1483715973600. Its totient is φ = 103673364480.

The previous prime is 395782668271. The next prime is 395782668329. The reversal of 395782668288 is 882866287593.

395782668288 is a `hidden beast` number, since 3 + 9 + 578 + 26 + 6 + 8 + 28 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12767182833 + ... + 12767182863.

Almost surely, 2^395782668288 is an apocalyptic number.

395782668288 is a gapful number since it is divisible by the number (38) 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 395782668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741857986800).

395782668288 is an abundant number, since it is smaller than the sum of its proper divisors (1087933305312).

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

395782668288 is an equidigital number, since it uses as much as digits as its factorization.

395782668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 62 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 395782668288 in words is "three hundred ninety-five billion, seven hundred eighty-two million, six hundred sixty-eight thousand, two hundred eighty-eight".