8380709280000 has 1440 divisors, whose sum is σ = 31860871257600. Its totient is φ = 2171520000000.

The previous prime is 8380709279953. The next prime is 8380709280089. The reversal of 8380709280000 is 829070838.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 33389279875 + ... + 33389280125.

It is an arithmetic number, because the mean of its divisors is an integer number (22125605040).

Almost surely, 2^{8380709280000} is an apocalyptic number.

8380709280000 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 8380709280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930435628800).

8380709280000 is an abundant number, since it is smaller than the sum of its proper divisors (23480161977600).

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

8380709280000 is a wasteful number, since it uses less digits than its factorization.

8380709280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8380709280000 in words is "eight trillion, three hundred eighty billion, seven hundred nine million, two hundred eighty thousand".