8380452896640 has 1792 divisors, whose sum is σ = 33694101619200. Its totient is φ = 1975228416000.

The previous prime is 8380452896609. The next prime is 8380452896663. The reversal of 8380452896640 is 466982540838.

8380452896640 is a `hidden beast` number, since 8 + 3 + 8 + 0 + 4 + 528 + 9 + 66 + 40 = 666.

It is a super-3 number, since 3×8380452896640³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 39717786135 + ... + 39717786345.

Almost surely, 2^{8380452896640} is an apocalyptic number.

8380452896640 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 8380452896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847050809600).

8380452896640 is an abundant number, since it is smaller than the sum of its proper divisors (25313648722560).

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

8380452896640 is a wasteful number, since it uses less digits than its factorization.

8380452896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 8380452896640 in words is "eight trillion, three hundred eighty billion, four hundred fifty-two million, eight hundred ninety-six thousand, six hundred forty".