8747193600 has 324 divisors, whose sum is σ = 33116497596. Its totient is φ = 2195128320.

The previous prime is 8747193599. The next prime is 8747193619. The reversal of 8747193600 is 63917478.

It can be written as a sum of positive squares in 6 ways, for example, as 129413376 + 8617780224 = 11376^2 + 92832^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 974734 + ... + 983666.

Almost surely, 2^8747193600 is an apocalyptic number.

8747193600 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 8747193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558248798).

8747193600 is an abundant number, since it is smaller than the sum of its proper divisors (24369303996).

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

8747193600 is a wasteful number, since it uses less digits than its factorization.

8747193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8747193600 is about 93526.4326273594. The cubic root of 8747193600 is about 2060.4223220603.

The spelling of 8747193600 in words is "eight billion, seven hundred forty-seven million, one hundred ninety-three thousand, six hundred".