8294004268800 has 864 divisors, whose sum is σ = 29563107840000. Its totient is φ = 2042983219200.

The previous prime is 8294004268783. The next prime is 8294004268853. The reversal of 8294004268800 is 88624004928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1536208501 + ... + 1536213899.

It is an arithmetic number, because the mean of its divisors is an integer number (34216560000).

Almost surely, 2^{8294004268800} is an apocalyptic number.

8294004268800 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 8294004268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781553920000).

8294004268800 is an abundant number, since it is smaller than the sum of its proper divisors (21269103571200).

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

8294004268800 is a wasteful number, since it uses less digits than its factorization.

8294004268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 8294004268800 in words is "eight trillion, two hundred ninety-four billion, four million, two hundred sixty-eight thousand, eight hundred".