7243613600 has 72 divisors (see below), whose sum is σ = 17714452140. Its totient is φ = 2892369920.

The previous prime is 7243613581. The next prime is 7243613603. The reversal of 7243613600 is 63163427.

It can be written as a sum of positive squares in 6 ways, for example, as 2846862736 + 4396750864 = 53356^2 + 66308^2 .

It is a super-2 number, since 2×7243613600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7243613603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466766 + ... + 482034.

Almost surely, 2^7243613600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7243613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857226070).

7243613600 is an abundant number, since it is smaller than the sum of its proper divisors (10470838540).

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

7243613600 is a wasteful number, since it uses less digits than its factorization.

7243613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15882 (or 15869 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 7243613600 is about 85109.4213351260. The cubic root of 7243613600 is about 1934.8698552819.

The spelling of 7243613600 in words is "seven billion, two hundred forty-three million, six hundred thirteen thousand, six hundred".