8474400000000 has 1296 divisors, whose sum is σ = 33687756189360. Its totient is φ = 2035200000000.

The previous prime is 8474399999939. The next prime is 8474400000029. The reversal of 8474400000000 is 44748.

It is a self number, because there is not a number n which added to its sum of digits gives 8474400000000.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 79199999947 + ... + 79200000053.

It is an arithmetic number, because the mean of its divisors is an integer number (25993639035).

Almost surely, 2^{8474400000000} is an apocalyptic number.

8474400000000 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 8474400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843878094680).

8474400000000 is an abundant number, since it is smaller than the sum of its proper divisors (25213356189360).

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

8474400000000 is an frugal number, since it uses more digits than its factorization.

8474400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 8474400000000 its reverse (44748), we get a palindrome (8474400044748).

The spelling of 8474400000000 in words is "eight trillion, four hundred seventy-four billion, four hundred million", and thus it is an aban number.