6826040832 has 320 divisors, whose sum is σ = 20788669440. Its totient is φ = 1974534144.

The previous prime is 6826040827. The next prime is 6826040917. The reversal of 6826040832 is 2380406286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40874413 + ... + 40874579.

It is an arithmetic number, because the mean of its divisors is an integer number (64964592).

Almost surely, 2^6826040832 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 6826040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394334720).

6826040832 is an abundant number, since it is smaller than the sum of its proper divisors (13962628608).

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

6826040832 is a wasteful number, since it uses less digits than its factorization.

6826040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6826040832 is about 82619.8573709735. The cubic root of 6826040832 is about 1896.9517911665.

The spelling of 6826040832 in words is "six billion, eight hundred twenty-six million, forty thousand, eight hundred thirty-two".