7541663187168 has 768 divisors, whose sum is σ = 25813944898560. Its totient is φ = 2143190016000.

The previous prime is 7541663187167. The next prime is 7541663187217. The reversal of 7541663187168 is 8617813661457.

7541663187168 is a `hidden beast` number, since 7 + 541 + 6 + 6 + 3 + 1 + 87 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7541663187167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4331798778 + ... + 4331800518.

It is an arithmetic number, because the mean of its divisors is an integer number (33611907420).

Almost surely, 2^{7541663187168} 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 7541663187168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906972449280).

7541663187168 is an abundant number, since it is smaller than the sum of its proper divisors (18272281711392).

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

7541663187168 is a wasteful number, since it uses less digits than its factorization.

7541663187168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2105 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 7541663187168 in words is "seven trillion, five hundred forty-one billion, six hundred sixty-three million, one hundred eighty-seven thousand, one hundred sixty-eight".