8380968281280 has 448 divisors, whose sum is σ = 33985295585280. Its totient is φ = 1904574394368.

The previous prime is 8380968281267. The next prime is 8380968281291. The reversal of 8380968281280 is 821828690838.

8380968281280 is a `hidden beast` number, since 8 + 380 + 96 + 82 + 8 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10062537 + ... + 10863543.

Almost surely, 2^{8380968281280} is an apocalyptic number.

8380968281280 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 8380968281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992647792640).

8380968281280 is an abundant number, since it is smaller than the sum of its proper divisors (25604327304000).

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

8380968281280 is a wasteful number, since it uses less digits than its factorization.

8380968281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801213 (or 801197 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 8380968281280 in words is "eight trillion, three hundred eighty billion, nine hundred sixty-eight million, two hundred eighty-one thousand, two hundred eighty".