8675005768 has 64 divisors (see below), whose sum is σ = 19144641600. Its totient is φ = 3633127680.

The previous prime is 8675005763. The next prime is 8675005789.

8675005768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (8675005763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637338 + ... + 650806.

It is an arithmetic number, because the mean of its divisors is an integer number (299135025).

Almost surely, 2^8675005768 is an apocalyptic number.

8675005768 is a gapful number since it is divisible by the number (88) 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 8675005768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572320800).

8675005768 is an abundant number, since it is smaller than the sum of its proper divisors (10469635832).

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

8675005768 is a wasteful number, since it uses less digits than its factorization.

8675005768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The square root of 8675005768 is about 93139.7110152270. The cubic root of 8675005768 is about 2054.7386527378.

The spelling of 8675005768 in words is "eight billion, six hundred seventy-five million, five thousand, seven hundred sixty-eight".