395690566320 has 720 divisors, whose sum is σ = 1687519491840. Its totient is φ = 85679451648.

The previous prime is 395690566289. The next prime is 395690566321. The reversal of 395690566320 is 23665096593.

395690566320 is a `hidden beast` number, since 3 + 9 + 56 + 9 + 0 + 566 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (395690566321) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 18087709 + ... + 18109571.

It is an arithmetic number, because the mean of its divisors is an integer number (2343777072).

Almost surely, 2^395690566320 is an apocalyptic number.

395690566320 is a gapful number since it is divisible by the number (30) 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 395690566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843759745920).

395690566320 is an abundant number, since it is smaller than the sum of its proper divisors (1291828925520).

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

395690566320 is a wasteful number, since it uses less digits than its factorization.

395690566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 395690566320 in words is "three hundred ninety-five billion, six hundred ninety million, five hundred sixty-six thousand, three hundred twenty".