8829482618880 has 2496 divisors, whose sum is σ = 40627779379200. Its totient is φ = 1718228090880.

The previous prime is 8829482618851. The next prime is 8829482618903. The reversal of 8829482618880 is 888162849288.

8829482618880 is a `hidden beast` number, since 8 + 8 + 2 + 9 + 482 + 61 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8829482618799 and 8829482618808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36943441801 + ... + 36943442039.

It is an arithmetic number, because the mean of its divisors is an integer number (16277155200).

Almost surely, 2^{8829482618880} is an apocalyptic number.

8829482618880 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 8829482618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313889689600).

8829482618880 is an abundant number, since it is smaller than the sum of its proper divisors (31798296760320).

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

8829482618880 is a wasteful number, since it uses less digits than its factorization.

8829482618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 72.

The spelling of 8829482618880 in words is "eight trillion, eight hundred twenty-nine billion, four hundred eighty-two million, six hundred eighteen thousand, eight hundred eighty".