8081876424960 has 2016 divisors, whose sum is σ = 33103881619200. Its totient is φ = 1874576867328.

The previous prime is 8081876424953. The next prime is 8081876424961. The reversal of 8081876424960 is 694246781808.

8081876424960 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 87 + 64 + 2 + 496 + 0 = 666.

It is a super-2 number, since 2×8081876424960² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8081876424961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23157238866 + ... + 23157239214.

It is an arithmetic number, because the mean of its divisors is an integer number (16420576200).

Almost surely, 2^{8081876424960} is an apocalyptic number.

8081876424960 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 8081876424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551940809600).

8081876424960 is an abundant number, since it is smaller than the sum of its proper divisors (25022005194240).

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

8081876424960 is a wasteful number, since it uses less digits than its factorization.

8081876424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8081876424960 in words is "eight trillion, eighty-one billion, eight hundred seventy-six million, four hundred twenty-four thousand, nine hundred sixty".