6403680528 has 80 divisors (see below), whose sum is σ = 18920753280. Its totient is φ = 1828205568.

The previous prime is 6403680527. The next prime is 6403680541. The reversal of 6403680528 is 8250863046.

It is a Cunningham number, because it is equal to 80023²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6403680528.

It is not an unprimeable number, because it can be changed into a prime (6403680527) 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, 473476 + ... + 486812.

It is an arithmetic number, because the mean of its divisors is an integer number (236509416).

Almost surely, 2^6403680528 is an apocalyptic number.

It is an amenable number.

6403680528 is an abundant number, since it is smaller than the sum of its proper divisors (12517072752).

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

6403680528 is a wasteful number, since it uses less digits than its factorization.

6403680528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6403680528 is about 80022.9999937518. Note that the first 5 decimals coincide. The cubic root of 6403680528 is about 1856.9913714431.

The spelling of 6403680528 in words is "six billion, four hundred three million, six hundred eighty thousand, five hundred twenty-eight".