8115283406720 has 512 divisors, whose sum is σ = 23774255308800. Its totient is φ = 2585699942400.

The previous prime is 8115283406687. The next prime is 8115283406749. The reversal of 8115283406720 is 276043825118.

It is a super-3 number, since 3×8115283406720³ (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 63 ways as a sum of consecutive naturals, for example, 1989525641 + ... + 1989529719.

It is an arithmetic number, because the mean of its divisors is an integer number (46434092400).

Almost surely, 2^{8115283406720} is an apocalyptic number.

8115283406720 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 8115283406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887127654400).

8115283406720 is an abundant number, since it is smaller than the sum of its proper divisors (15658971902080).

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

8115283406720 is a wasteful number, since it uses less digits than its factorization.

8115283406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 8115283406720 in words is "eight trillion, one hundred fifteen billion, two hundred eighty-three million, four hundred six thousand, seven hundred twenty".