4075658496 has 324 divisors, whose sum is σ = 14726494692. Its totient is φ = 1074511872.

The previous prime is 4075658467. The next prime is 4075658513. The reversal of 4075658496 is 6948565704.

4075658496 is a `hidden beast` number, since 4 + 0 + 7 + 56 + 584 + 9 + 6 = 666.

4075658496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 618218496 + 3457440000 = 24864^2 + 58800^2 .

It is a super-2 number, since 2×4075658496² = 33221984352033964032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1466260 + ... + 1469036.

Almost surely, 2^4075658496 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 4075658496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363247346).

4075658496 is an abundant number, since it is smaller than the sum of its proper divisors (10650836196).

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

4075658496 is a wasteful number, since it uses less digits than its factorization.

4075658496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4075658496 is about 63840.8842044031. The cubic root of 4075658496 is about 1597.3469699930.

The spelling of 4075658496 in words is "four billion, seventy-five million, six hundred fifty-eight thousand, four hundred ninety-six".