6400028160 has 160 divisors (see below), whose sum is σ = 22733678880. Its totient is φ = 1706655744.

The previous prime is 6400028149. The next prime is 6400028161. The reversal of 6400028160 is 618200046.

6400028160 is a `hidden beast` number, since 640 + 0 + 0 + 2 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400028161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22824 + ... + 115416.

It is an arithmetic number, because the mean of its divisors is an integer number (142085493).

Almost surely, 2^6400028160 is an apocalyptic number.

6400028160 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 6400028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366839440).

6400028160 is an abundant number, since it is smaller than the sum of its proper divisors (16333650720).

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

6400028160 is an equidigital number, since it uses as much as digits as its factorization.

6400028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92625 (or 92603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6400028160 is about 80000.1759998064. The cubic root of 6400028160 is about 1856.6382565066.

The spelling of 6400028160 in words is "six billion, four hundred million, twenty-eight thousand, one hundred sixty".