8379075870720 has 1200 divisors, whose sum is σ = 30961273018368. Its totient is φ = 2167107747840.

The previous prime is 8379075870661. The next prime is 8379075870727. The reversal of 8379075870720 is 270785709738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8379075870727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51405373359 + ... + 51405373521.

Almost surely, 2^{8379075870720} is an apocalyptic number.

8379075870720 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 8379075870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480636509184).

8379075870720 is an abundant number, since it is smaller than the sum of its proper divisors (22582197147648).

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

8379075870720 is a wasteful number, since it uses less digits than its factorization.

8379075870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 8379075870720 in words is "eight trillion, three hundred seventy-nine billion, seventy-five million, eight hundred seventy thousand, seven hundred twenty".