8380133959680 has 384 divisors, whose sum is σ = 34044302073600. Its totient is φ = 1915458748416.

The previous prime is 8380133959627. The next prime is 8380133959751. The reversal of 8380133959680 is 869593310838.

8380133959680 is a `hidden beast` number, since 8 + 3 + 8 + 0 + 1 + 3 + 39 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 229647 + ... + 4100366.

It is an arithmetic number, because the mean of its divisors is an integer number (88657036650).

Almost surely, 2^{8380133959680} is an apocalyptic number.

8380133959680 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 8380133959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022151036800).

8380133959680 is an abundant number, since it is smaller than the sum of its proper divisors (25664168113920).

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

8380133959680 is a wasteful number, since it uses less digits than its factorization.

8380133959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330056 (or 4330030 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 8380133959680 in words is "eight trillion, three hundred eighty billion, one hundred thirty-three million, nine hundred fifty-nine thousand, six hundred eighty".