7481741568 has 288 divisors, whose sum is σ = 24253286400. Its totient is φ = 1999945728.

The previous prime is 7481741567. The next prime is 7481741573. The reversal of 7481741568 is 8651471847.

It is a self number, because there is not a number n which added to its sum of digits gives 7481741568.

It is not an unprimeable number, because it can be changed into a prime (7481741567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9090405 + ... + 9091227.

It is an arithmetic number, because the mean of its divisors is an integer number (84212800).

Almost surely, 2^7481741568 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 7481741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126643200).

7481741568 is an abundant number, since it is smaller than the sum of its proper divisors (16771544832).

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

7481741568 is a wasteful number, since it uses less digits than its factorization.

7481741568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 7481741568 is about 86497.0610367774. The cubic root of 7481741568 is about 1955.8440999695.

The spelling of 7481741568 in words is "seven billion, four hundred eighty-one million, seven hundred forty-one thousand, five hundred sixty-eight".