395849507760 has 840 divisors, whose sum is σ = 1631149305120. Its totient is φ = 87474401280.

The previous prime is 395849507719. The next prime is 395849507813. The reversal of 395849507760 is 67705948593.

395849507760 is a `hidden beast` number, since 3 + 9 + 58 + 4 + 9 + 507 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 392318136 + ... + 392319144.

Almost surely, 2^395849507760 is an apocalyptic number.

395849507760 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 395849507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815574652560).

395849507760 is an abundant number, since it is smaller than the sum of its proper divisors (1235299797360).

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

395849507760 is a wasteful number, since it uses less digits than its factorization.

395849507760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 395849507760 in words is "three hundred ninety-five billion, eight hundred forty-nine million, five hundred seven thousand, seven hundred sixty".