5865667164 has 144 divisors (see below), whose sum is σ = 17610797568. Its totient is φ = 1672291008.

The previous prime is 5865667141. The next prime is 5865667183. The reversal of 5865667164 is 4617665685.

5865667164 is a `hidden beast` number, since 5 + 8 + 6 + 566 + 71 + 6 + 4 = 666.

It is a super-3 number, since 3×5865667164³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5865667164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5966617 + ... + 5967599.

Almost surely, 2^5865667164 is an apocalyptic number.

5865667164 is a gapful number since it is divisible by the number (54) 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 5865667164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805398784).

5865667164 is an abundant number, since it is smaller than the sum of its proper divisors (11745130404).

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

5865667164 is a wasteful number, since it uses less digits than its factorization.

5865667164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

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

The square root of 5865667164 is about 76587.6436770319. The cubic root of 5865667164 is about 1803.4570561730.

The spelling of 5865667164 in words is "five billion, eight hundred sixty-five million, six hundred sixty-seven thousand, one hundred sixty-four".