8247120368400 has 405 divisors, whose sum is σ = 29932623076447. Its totient is φ = 2102602444800.

The previous prime is 8247120368393. The next prime is 8247120368407. The reversal of 8247120368400 is 48630217428.

It is a happy number.

The square root of 8247120368400 is 2871780.

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

8247120368400 is a `hidden beast` number, since 8 + 247 + 1 + 2 + 0 + 368 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8247120368393) and next prime (8247120368407).

It can be written as a sum of positive squares in 4 ways, for example, as 562338011664 + 7684782356736 = 749892^2 + 2772144^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8247120368407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3963055360 + ... + 3963057440.

Almost surely, 2^{8247120368400} is an apocalyptic number.

8247120368400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8247120368400 is the 2871780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8247120368400

8247120368400 is an abundant number, since it is smaller than the sum of its proper divisors (21685502708047).

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

8247120368400 is a wasteful number, since it uses less digits than its factorization.

8247120368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8247120368400 in words is "eight trillion, two hundred forty-seven billion, one hundred twenty million, three hundred sixty-eight thousand, four hundred".