4059684864 has 336 divisors, whose sum is σ = 12880969920. Its totient is φ = 1226833920.

The previous prime is 4059684841. The next prime is 4059684899. The reversal of 4059684864 is 4684869504.

4059684864 is a `hidden beast` number, since 4 + 0 + 596 + 8 + 48 + 6 + 4 = 666.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4059684864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51388377 + ... + 51388455.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^4059684864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4059684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440484960).

4059684864 is an abundant number, since it is smaller than the sum of its proper divisors (8821285056).

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

4059684864 is a wasteful number, since it uses less digits than its factorization.

4059684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4059684864 is about 63715.6563491266. The cubic root of 4059684864 is about 1595.2574230333.

The spelling of 4059684864 in words is "four billion, fifty-nine million, six hundred eighty-four thousand, eight hundred sixty-four".