6128473824 has 432 divisors, whose sum is σ = 20634460560. Its totient is φ = 1767744000.

The previous prime is 6128473823. The next prime is 6128473829. The reversal of 6128473824 is 4283748216.

It is a happy number.

6128473824 is a `hidden beast` number, since 612 + 8 + 4 + 7 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6128473824² = 75116382822906365952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6128473824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128473823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100466754 + ... + 100466814.

It is an arithmetic number, because the mean of its divisors is an integer number (47764955).

Almost surely, 2^6128473824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6128473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317230280).

6128473824 is an abundant number, since it is smaller than the sum of its proper divisors (14505986736).

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

6128473824 is a wasteful number, since it uses less digits than its factorization.

6128473824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 108 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6128473824 is about 78284.5695140492. The cubic root of 6128473824 is about 1829.9986885237.

The spelling of 6128473824 in words is "six billion, one hundred twenty-eight million, four hundred seventy-three thousand, eight hundred twenty-four".