6802802496 has 504 divisors, whose sum is σ = 24031163520. Its totient is φ = 1902071808.

The previous prime is 6802802477. The next prime is 6802802507. The reversal of 6802802496 is 6942082086.

6802802496 is a `hidden beast` number, since 6 + 80 + 2 + 80 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60201736 + ... + 60201848.

It is an arithmetic number, because the mean of its divisors is an integer number (47680880).

Almost surely, 2^6802802496 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 6802802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015581760).

6802802496 is an abundant number, since it is smaller than the sum of its proper divisors (17228361024).

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

6802802496 is a wasteful number, since it uses less digits than its factorization.

6802802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6802802496 is about 82479.1033898890. The cubic root of 6802802496 is about 1894.7967048455.

The spelling of 6802802496 in words is "six billion, eight hundred two million, eight hundred two thousand, four hundred ninety-six".