7735288242 has 48 divisors (see below), whose sum is σ = 17065389600. Its totient is φ = 2335681920.

The previous prime is 7735288207. The next prime is 7735288243. The reversal of 7735288242 is 2428825377.

It is a junction number, because it is equal to n+sod(n) for n = 7735288191 and 7735288200.

It is not an unprimeable number, because it can be changed into a prime (7735288243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186634 + ... + 224282.

It is an arithmetic number, because the mean of its divisors is an integer number (355528950).

Almost surely, 2^7735288242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7735288242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532694800).

7735288242 is an abundant number, since it is smaller than the sum of its proper divisors (9330101358).

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

7735288242 is a wasteful number, since it uses less digits than its factorization.

7735288242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37959 (or 37948 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 7735288242 is about 87950.4874460625. The cubic root of 7735288242 is about 1977.6928064157.

The spelling of 7735288242 in words is "seven billion, seven hundred thirty-five million, two hundred eighty-eight thousand, two hundred forty-two".