6476112000 has 640 divisors, whose sum is σ = 25414646400. Its totient is φ = 1629849600.

The previous prime is 6476111989. The next prime is 6476112053. The reversal of 6476112000 is 2116746.

6476112000 is a `hidden beast` number, since 6 + 47 + 611 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24623869 + ... + 24624131.

It is an arithmetic number, because the mean of its divisors is an integer number (39710385).

Almost surely, 2^6476112000 is an apocalyptic number.

6476112000 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 6476112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707323200).

6476112000 is an abundant number, since it is smaller than the sum of its proper divisors (18938534400).

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

6476112000 is a wasteful number, since it uses less digits than its factorization.

6476112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6476112000 is about 80474.2940323182. The cubic root of 6476112000 is about 1863.9665610732.

Adding to 6476112000 its reverse (2116746), we get a palindrome (6478228746).

The spelling of 6476112000 in words is "six billion, four hundred seventy-six million, one hundred twelve thousand".