395295606720 has 504 divisors, whose sum is σ = 1584222835104. Its totient is φ = 90205581312.

The previous prime is 395295606709. The next prime is 395295606721. The reversal of 395295606720 is 27606592593.

395295606720 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 9 + 5 + 606 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395295606721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102592314 + ... + 102596166.

It is an arithmetic number, because the mean of its divisors is an integer number (3143299276).

Almost surely, 2^395295606720 is an apocalyptic number.

395295606720 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 395295606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792111417552).

395295606720 is an abundant number, since it is smaller than the sum of its proper divisors (1188927228384).

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

395295606720 is a wasteful number, since it uses less digits than its factorization.

395295606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 395295606720 in words is "three hundred ninety-five billion, two hundred ninety-five million, six hundred six thousand, seven hundred twenty".