8474400000 has 648 divisors, whose sum is σ = 33628035168. Its totient is φ = 2035200000.

The previous prime is 8474399987. The next prime is 8474400013. The reversal of 8474400000 is 44748.

It is an interprime number because it is at equal distance from previous prime (8474399987) and next prime (8474400013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79199947 + ... + 79200053.

It is an arithmetic number, because the mean of its divisors is an integer number (51895116).

Almost surely, 2^8474400000 is an apocalyptic number.

8474400000 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 8474400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814017584).

8474400000 is an abundant number, since it is smaller than the sum of its proper divisors (25153635168).

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

8474400000 is a wasteful number, since it uses less digits than its factorization.

8474400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

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

The square root of 8474400000 is about 92056.5043872512. The cubic root of 8474400000 is about 2038.7766598485.

Adding to 8474400000 its reverse (44748), we get a palindrome (8474444748).

The spelling of 8474400000 in words is "eight billion, four hundred seventy-four million, four hundred thousand".