7473736816128 has 640 divisors, whose sum is σ = 24929409415680. Its totient is φ = 2209307443200.

The previous prime is 7473736816043. The next prime is 7473736816129. The reversal of 7473736816128 is 8216186373747.

7473736816128 is a `hidden beast` number, since 7 + 4 + 7 + 3 + 7 + 3 + 6 + 8 + 1 + 612 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7473736816129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754384551 + ... + 754394457.

It is an arithmetic number, because the mean of its divisors is an integer number (38952202212).

Almost surely, 2^{7473736816128} 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 7473736816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464704707840).

7473736816128 is an abundant number, since it is smaller than the sum of its proper divisors (17455672599552).

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

7473736816128 is an equidigital number, since it uses as much as digits as its factorization.

7473736816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9964 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 7473736816128 in words is "seven trillion, four hundred seventy-three billion, seven hundred thirty-six million, eight hundred sixteen thousand, one hundred twenty-eight".