8743316400 has 540 divisors, whose sum is σ = 37567150608. Its totient is φ = 1843845120.

The previous prime is 8743316381. The next prime is 8743316411. The reversal of 8743316400 is 46133478.

8743316400 is a `hidden beast` number, since 8 + 7 + 4 + 3 + 3 + 1 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4257774 + ... + 4259826.

Almost surely, 2^8743316400 is an apocalyptic number.

8743316400 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 8743316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783575304).

8743316400 is an abundant number, since it is smaller than the sum of its proper divisors (28823834208).

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

8743316400 is a wasteful number, since it uses less digits than its factorization.

8743316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8743316400 is about 93505.7024999010. The cubic root of 8743316400 is about 2060.1178491664.

Adding to 8743316400 its reverse (46133478), we get a palindrome (8789449878).

The spelling of 8743316400 in words is "eight billion, seven hundred forty-three million, three hundred sixteen thousand, four hundred".