7788648960 has 200 divisors, whose sum is σ = 27897222276. Its totient is φ = 2076917760.

The previous prime is 7788648949. The next prime is 7788648977. The reversal of 7788648960 is 698468877.

7788648960 is a `hidden beast` number, since 7 + 78 + 86 + 489 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7047938304 + 740710656 = 83952^2 + 27216^2 .

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 19 ways as a sum of consecutive naturals, for example, 188580 + ... + 226140.

Almost surely, 2^7788648960 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 7788648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948611138).

7788648960 is an abundant number, since it is smaller than the sum of its proper divisors (20108573316).

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

7788648960 is an equidigital number, since it uses as much as digits as its factorization.

7788648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37596 (or 37571 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 7788648960 is about 88253.3226569969. The cubic root of 7788648960 is about 1982.2299943911.

The spelling of 7788648960 in words is "seven billion, seven hundred eighty-eight million, six hundred forty-eight thousand, nine hundred sixty".