4395706560 has 672 divisors, whose sum is σ = 18213092352. Its totient is φ = 952197120.

The previous prime is 4395706531. The next prime is 4395706573. The reversal of 4395706560 is 656075934.

4395706560 is a `hidden beast` number, since 4 + 39 + 57 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52960279 + ... + 52960361.

It is an arithmetic number, because the mean of its divisors is an integer number (27102816).

Almost surely, 2^4395706560 is an apocalyptic number.

4395706560 is a gapful number since it is divisible by the number (40) 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 4395706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106546176).

4395706560 is an abundant number, since it is smaller than the sum of its proper divisors (13817385792).

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

4395706560 is a wasteful number, since it uses less digits than its factorization.

4395706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 4395706560 is about 66300.1248867602. The cubic root of 4395706560 is about 1638.1093818819.

The spelling of 4395706560 in words is "four billion, three hundred ninety-five million, seven hundred six thousand, five hundred sixty".