8743730720400 has 1215 divisors, whose sum is σ = 35060473796049. Its totient is φ = 2016613048320.

The previous prime is 8743730720341. The next prime is 8743730720401. The reversal of 8743730720400 is 40270373478.

The square root of 8743730720400 is 2956980.

It is a perfect power (a square), and thus also a powerful number.

8743730720400 is a `hidden beast` number, since 8 + 7 + 437 + 3 + 0 + 7 + 204 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6367890747024 + 2375839973376 = 2523468^2 + 1541376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8743730720401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 39209554689 + ... + 39209554911.

Almost surely, 2^{8743730720400} is an apocalyptic number.

8743730720400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8743730720400 is the 2956980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8743730720400

8743730720400 is an abundant number, since it is smaller than the sum of its proper divisors (26316743075649).

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

8743730720400 is a wasteful number, since it uses less digits than its factorization.

8743730720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 8743730720400 in words is "eight trillion, seven hundred forty-three billion, seven hundred thirty million, seven hundred twenty thousand, four hundred".