6001164288 has 640 divisors, whose sum is σ = 22837636800. Its totient is φ = 1528823808.

The previous prime is 6001164283. The next prime is 6001164313. The reversal of 6001164288 is 8824611006.

6001164288 is a `hidden beast` number, since 6 + 0 + 0 + 1 + 1 + 642 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6001164283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315850743 + ... + 315850761.

Almost surely, 2^6001164288 is an apocalyptic number.

6001164288 is a gapful number since it is divisible by the number (68) 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 6001164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418818400).

6001164288 is an abundant number, since it is smaller than the sum of its proper divisors (16836472512).

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

6001164288 is an equidigital number, since it uses as much as digits as its factorization.

6001164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6001164288 is about 77467.1820063180. The cubic root of 6001164288 is about 1817.2381214360.

The spelling of 6001164288 in words is "six billion, one million, one hundred sixty-four thousand, two hundred eighty-eight".