6802534656 has 288 divisors, whose sum is σ = 21021150080. Its totient is φ = 2167824384.

The previous prime is 6802534601. The next prime is 6802534663. The reversal of 6802534656 is 6564352086.

6802534656 is a `hidden beast` number, since 68 + 0 + 2 + 534 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 17134650 + ... + 17135046.

Almost surely, 2^6802534656 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 6802534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510575040).

6802534656 is an abundant number, since it is smaller than the sum of its proper divisors (14218615424).

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

6802534656 is a wasteful number, since it uses less digits than its factorization.

6802534656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6802534656 is about 82477.4796899129. The cubic root of 6802534656 is about 1894.7718372016.

The spelling of 6802534656 in words is "six billion, eight hundred two million, five hundred thirty-four thousand, six hundred fifty-six".