7656217866 has 96 divisors (see below), whose sum is σ = 18332308800. Its totient is φ = 2290007040.

The previous prime is 7656217853. The next prime is 7656217931. The reversal of 7656217866 is 6687126567.

7656217866 is a `hidden beast` number, since 7 + 6 + 5 + 621 + 7 + 8 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8240890 + ... + 8241818.

It is an arithmetic number, because the mean of its divisors is an integer number (190961550).

Almost surely, 2^7656217866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7656217866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166154400).

7656217866 is an abundant number, since it is smaller than the sum of its proper divisors (10676090934).

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

7656217866 is a wasteful number, since it uses less digits than its factorization.

7656217866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1441 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 7656217866 is about 87499.8163769502. The cubic root of 7656217866 is about 1970.9310333744.

It can be divided in two parts, 7656 and 217866, that added together give a palindrome (225522).

The spelling of 7656217866 in words is "seven billion, six hundred fifty-six million, two hundred seventeen thousand, eight hundred sixty-six".