7742599488 has 140 divisors (see below), whose sum is σ = 24717204820. Its totient is φ = 2382317568.

The previous prime is 7742599483. The next prime is 7742599519. The reversal of 7742599488 is 8849952477.

It can be written as a sum of positive squares in 2 ways, for example, as 2620620864 + 5121978624 = 51192^2 + 71568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742599483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9948 + ... + 124836.

It is an arithmetic number, because the mean of its divisors is an integer number (176551463).

Almost surely, 2^7742599488 is an apocalyptic number.

7742599488 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7742599488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358602410).

7742599488 is an abundant number, since it is smaller than the sum of its proper divisors (16974605332).

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

7742599488 is a wasteful number, since it uses less digits than its factorization.

7742599488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114926 (or 114907 counting only the distinct ones).

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

The square root of 7742599488 is about 87992.0421856431. The cubic root of 7742599488 is about 1978.3157026361.

The spelling of 7742599488 in words is "seven billion, seven hundred forty-two million, five hundred ninety-nine thousand, four hundred eighty-eight".