808061648000 has 128 divisors (see below), whose sum is σ = 2063343250800. Its totient is φ = 314488627200.

The previous prime is 808061647927. The next prime is 808061648041. The reversal of 808061648000 is 846160808.

It can be written as a sum of positive squares in 8 ways, for example, as 355111111744 + 452950536256 = 595912^2 + 673016^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90485 + ... + 1274484.

Almost surely, 2^808061648000 is an apocalyptic number.

808061648000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808061648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031671625400).

808061648000 is an abundant number, since it is smaller than the sum of its proper divisors (1255281602800).

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

808061648000 is a wasteful number, since it uses less digits than its factorization.

808061648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365035 (or 1365013 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 808061648000 in words is "eight hundred eight billion, sixty-one million, six hundred forty-eight thousand".