7687845648 has 160 divisors (see below), whose sum is σ = 25756446720. Its totient is φ = 2149752960.

The previous prime is 7687845629. The next prime is 7687845653. The reversal of 7687845648 is 8465487867.

7687845648 is a `hidden beast` number, since 7 + 68 + 7 + 8 + 4 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115083 + ... + 169173.

It is an arithmetic number, because the mean of its divisors is an integer number (160977792).

Almost surely, 2^7687845648 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 7687845648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878223360).

7687845648 is an abundant number, since it is smaller than the sum of its proper divisors (18068601072).

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

7687845648 is a wasteful number, since it uses less digits than its factorization.

7687845648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54162 (or 54150 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The square root of 7687845648 is about 87680.3606744407. The cubic root of 7687845648 is about 1973.6412721997.

The spelling of 7687845648 in words is "seven billion, six hundred eighty-seven million, eight hundred forty-five thousand, six hundred forty-eight".