8084091375360 has 4608 divisors, whose sum is σ = 41536696320000. Its totient is φ = 1463132160000.

The previous prime is 8084091375359. The next prime is 8084091375383. The reversal of 8084091375360 is 635731904808.

8084091375360 is a `hidden beast` number, since 80 + 84 + 0 + 91 + 375 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8084091375297 and 8084091375306.

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 32207535235 + ... + 32207535485.

It is an arithmetic number, because the mean of its divisors is an integer number (9014040000).

Almost surely, 2^{8084091375360} is an apocalyptic number.

8084091375360 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 8084091375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20768348160000).

8084091375360 is an abundant number, since it is smaller than the sum of its proper divisors (33452604944640).

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

8084091375360 is a wasteful number, since it uses less digits than its factorization.

8084091375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8084091375360 in words is "eight trillion, eighty-four billion, ninety-one million, three hundred seventy-five thousand, three hundred sixty".