7686171648 has 528 divisors, whose sum is σ = 25750932480. Its totient is φ = 2277310464.

The previous prime is 7686171643. The next prime is 7686171677. The reversal of 7686171648 is 8461716867.

7686171648 is a `hidden beast` number, since 7 + 6 + 8 + 617 + 16 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7686171594 and 7686171603.

It is not an unprimeable number, because it can be changed into a prime (7686171643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97293273 + ... + 97293351.

Almost surely, 2^7686171648 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 7686171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

7686171648 is an abundant number, since it is smaller than the sum of its proper divisors (18064760832).

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

7686171648 is a wasteful number, since it uses less digits than its factorization.

7686171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 7686171648 is about 87670.8141173561. The cubic root of 7686171648 is about 1973.4980107681.

The spelling of 7686171648 in words is "seven billion, six hundred eighty-six million, one hundred seventy-one thousand, six hundred forty-eight".