7660228752 has 320 divisors, whose sum is σ = 25298380800. Its totient is φ = 2196564480.

The previous prime is 7660228721. The next prime is 7660228769. The reversal of 7660228752 is 2578220667.

It is a junction number, because it is equal to n+sod(n) for n = 7660228698 and 7660228707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11912943 + ... + 11913585.

It is an arithmetic number, because the mean of its divisors is an integer number (79057440).

Almost surely, 2^7660228752 is an apocalyptic number.

7660228752 is a gapful number since it is divisible by the number (72) 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 7660228752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649190400).

7660228752 is an abundant number, since it is smaller than the sum of its proper divisors (17638152048).

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

7660228752 is a wasteful number, since it uses less digits than its factorization.

7660228752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7660228752 is about 87522.7327726917. The cubic root of 7660228752 is about 1971.2751458240.

The spelling of 7660228752 in words is "seven billion, six hundred sixty million, two hundred twenty-eight thousand, seven hundred fifty-two".