8545736347200 has 1008 divisors, whose sum is σ = 34322834031360. Its totient is φ = 2055190855680.

The previous prime is 8545736347147. The next prime is 8545736347201. The reversal of 8545736347200 is 27436375458.

It is a happy number.

8545736347200 is a `hidden beast` number, since 8 + 5 + 4 + 573 + 6 + 3 + 47 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8545736347201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15018868516 + ... + 15018869084.

Almost surely, 2^{8545736347200} is an apocalyptic number.

8545736347200 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 8545736347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161417015680).

8545736347200 is an abundant number, since it is smaller than the sum of its proper divisors (25777097684160).

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

8545736347200 is a wasteful number, since it uses less digits than its factorization.

8545736347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 8545736347200 in words is "eight trillion, five hundred forty-five billion, seven hundred thirty-six million, three hundred forty-seven thousand, two hundred".