6400704528 has 120 divisors (see below), whose sum is σ = 18211602240. Its totient is φ = 2098172160.

The previous prime is 6400704487. The next prime is 6400704533. The reversal of 6400704528 is 8254070046.

6400704528 is a `hidden beast` number, since 64 + 0 + 0 + 70 + 4 + 528 = 666.

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 = 6400704492 and 6400704501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7248375 + ... + 7249257.

It is an arithmetic number, because the mean of its divisors is an integer number (151763352).

Almost surely, 2^6400704528 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 6400704528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9105801120).

6400704528 is an abundant number, since it is smaller than the sum of its proper divisors (11810897712).

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

6400704528 is a wasteful number, since it uses less digits than its factorization.

6400704528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6400704528 is about 80004.4031788251. The cubic root of 6400704528 is about 1856.7036586391.

The spelling of 6400704528 in words is "six billion, four hundred million, seven hundred four thousand, five hundred twenty-eight".