6000164100 has 720 divisors, whose sum is σ = 23956466688. Its totient is φ = 1269354240.

The previous prime is 6000164099. The next prime is 6000164101. The reversal of 6000164100 is 14610006.

6000164100 is a `hidden beast` number, since 600 + 0 + 1 + 64 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6000164099) and next prime (6000164101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000164101) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56076247 + ... + 56076353.

Almost surely, 2^6000164100 is an apocalyptic number.

6000164100 is a gapful number since it is divisible by the number (60) 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 6000164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978233344).

6000164100 is an abundant number, since it is smaller than the sum of its proper divisors (17956302588).

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

6000164100 is a wasteful number, since it uses less digits than its factorization.

6000164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6000164100 is about 77460.7261778509. The cubic root of 6000164100 is about 1817.1371587639.

Adding to 6000164100 its reverse (14610006), we get a palindrome (6014774106).

The spelling of 6000164100 in words is "six billion, one hundred sixty-four thousand, one hundred".