8260732914084 has 480 divisors, whose sum is σ = 25651366540800. Its totient is φ = 2268973099008.

The previous prime is 8260732914073. The next prime is 8260732914157. The reversal of 8260732914084 is 4804192370628.

8260732914084 is a `hidden beast` number, since 8 + 2 + 607 + 3 + 29 + 1 + 4 + 0 + 8 + 4 = 666.

It is a super-4 number, since 4×8260732914084⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8260732914084.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5332944942 + ... + 5332946490.

It is an arithmetic number, because the mean of its divisors is an integer number (53440346960).

Almost surely, 2^{8260732914084} is an apocalyptic number.

8260732914084 is a gapful number since it is divisible by the number (84) 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 8260732914084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825683270400).

8260732914084 is an abundant number, since it is smaller than the sum of its proper divisors (17390633626716).

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

8260732914084 is a wasteful number, since it uses less digits than its factorization.

8260732914084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8260732914084 in words is "eight trillion, two hundred sixty billion, seven hundred thirty-two million, nine hundred fourteen thousand, eighty-four".