802964734848 has 256 divisors, whose sum is σ = 2473490779200. Its totient is φ = 256197427200.

The previous prime is 802964734841. The next prime is 802964734921. The reversal of 802964734848 is 848437469208.

802964734848 is a `hidden beast` number, since 8 + 0 + 29 + 64 + 73 + 484 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802964734841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7456428 + ... + 7563348.

Almost surely, 2^802964734848 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 802964734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236745389600).

802964734848 is an abundant number, since it is smaller than the sum of its proper divisors (1670526044352).

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

802964734848 is a wasteful number, since it uses less digits than its factorization.

802964734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107038 (or 107020 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 802964734848 in words is "eight hundred two billion, nine hundred sixty-four million, seven hundred thirty-four thousand, eight hundred forty-eight".