4027858164 has 216 divisors, whose sum is σ = 12118491840. Its totient is φ = 1166711040.

The previous prime is 4027858151. The next prime is 4027858171. The reversal of 4027858164 is 4618587204.

4027858164 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 8 + 581 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2704332 + ... + 2705820.

Almost surely, 2^4027858164 is an apocalyptic number.

4027858164 is a gapful number since it is divisible by the number (44) 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 4027858164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059245920).

4027858164 is an abundant number, since it is smaller than the sum of its proper divisors (8090633676).

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

4027858164 is a wasteful number, since it uses less digits than its factorization.

4027858164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4027858164 is about 63465.4091927248. The cubic root of 4027858164 is about 1591.0777029735.

The spelling of 4027858164 in words is "four billion, twenty-seven million, eight hundred fifty-eight thousand, one hundred sixty-four".