6840896832 has 672 divisors, whose sum is σ = 26612112384. Its totient is φ = 1625702400.

The previous prime is 6840896807. The next prime is 6840896869. The reversal of 6840896832 is 2386980486.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32421207 + ... + 32421417.

Almost surely, 2^6840896832 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 6840896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306056192).

6840896832 is an abundant number, since it is smaller than the sum of its proper divisors (19771215552).

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

6840896832 is a wasteful number, since it uses less digits than its factorization.

6840896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6840896832 is about 82709.7142541310. The cubic root of 6840896832 is about 1898.3269512334.

The spelling of 6840896832 in words is "six billion, eight hundred forty million, eight hundred ninety-six thousand, eight hundred thirty-two".