7436741745168 has 240 divisors, whose sum is σ = 22951591004160. Its totient is φ = 2237384160000.

The previous prime is 7436741745119. The next prime is 7436741745203. The reversal of 7436741745168 is 8615471476347.

It is a happy number.

7436741745168 is a `hidden beast` number, since 7 + 4 + 3 + 6 + 7 + 41 + 74 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15559513 + ... + 16030343.

It is an arithmetic number, because the mean of its divisors is an integer number (95631629184).

Almost surely, 2^{7436741745168} 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 7436741745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475795502080).

7436741745168 is an abundant number, since it is smaller than the sum of its proper divisors (15514849258992).

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

7436741745168 is a wasteful number, since it uses less digits than its factorization.

7436741745168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471138 (or 471129 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

It can be divided in two parts, 743674 and 1745168, that added together give a palindrome (2488842).

The spelling of 7436741745168 in words is "seven trillion, four hundred thirty-six billion, seven hundred forty-one million, seven hundred forty-five thousand, one hundred sixty-eight".