8827840840896 has 336 divisors, whose sum is σ = 31594093060608. Its totient is φ = 2289530880000.

The previous prime is 8827840840823. The next prime is 8827840840999. The reversal of 8827840840896 is 6980480487288.

8827840840896 is a `hidden beast` number, since 88 + 27 + 8 + 408 + 40 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29701021 + ... + 29996771.

Almost surely, 2^{8827840840896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8827840840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797046530304).

8827840840896 is an abundant number, since it is smaller than the sum of its proper divisors (22766252219712).

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

8827840840896 is a wasteful number, since it uses less digits than its factorization.

8827840840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296460 (or 296447 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 8827840840896 in words is "eight trillion, eight hundred twenty-seven billion, eight hundred forty million, eight hundred forty thousand, eight hundred ninety-six".