7871748768 has 72 divisors (see below), whose sum is σ = 24107242068. Its totient is φ = 2422075392.

The previous prime is 7871748761. The next prime is 7871748791. The reversal of 7871748768 is 8678471787.

7871748768 is a `hidden beast` number, since 7 + 87 + 17 + 487 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7844999184 + 26749584 = 88572^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7871748761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047505 + ... + 1054992.

Almost surely, 2^7871748768 is an apocalyptic number.

7871748768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7871748768 is an abundant number, since it is smaller than the sum of its proper divisors (16235493300).

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

7871748768 is a wasteful number, since it uses less digits than its factorization.

7871748768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102526 (or 2102515 counting only the distinct ones).

The product of its digits is 29503488, while the sum is 63.

The square root of 7871748768 is about 88722.8762383186. The cubic root of 7871748768 is about 1989.2547707444.

The spelling of 7871748768 in words is "seven billion, eight hundred seventy-one million, seven hundred forty-eight thousand, seven hundred sixty-eight".