6815104128 has 384 divisors, whose sum is σ = 23533211520. Its totient is φ = 1922973696.

The previous prime is 6815104061. The next prime is 6815104141. The reversal of 6815104128 is 8214015186.

6815104128 is a `hidden beast` number, since 6 + 81 + 510 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 6815104092 and 6815104101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24603126 + ... + 24603402.

It is an arithmetic number, because the mean of its divisors is an integer number (61284405).

Almost surely, 2^6815104128 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 6815104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766605760).

6815104128 is an abundant number, since it is smaller than the sum of its proper divisors (16718107392).

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

6815104128 is a wasteful number, since it uses less digits than its factorization.

6815104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 6815104128 is about 82553.6439413791. The cubic root of 6815104128 is about 1895.9381489197.

The spelling of 6815104128 in words is "six billion, eight hundred fifteen million, one hundred four thousand, one hundred twenty-eight".