6652678762566 has 96 divisors (see below), whose sum is σ = 14870559674880. Its totient is φ = 2147888135232.

The previous prime is 6652678762507. The next prime is 6652678762571.

6652678762566 is a `hidden beast` number, since 6 + 6 + 52 + 6 + 7 + 8 + 7 + 6 + 2 + 566 = 666.

6652678762566 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6652678762494 and 6652678762503.

It is a congruent number.

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, 713572381 + ... + 713581703.

It is an arithmetic number, because the mean of its divisors is an integer number (154901663280).

Almost surely, 2^{6652678762566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6652678762566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435279837440).

6652678762566 is an abundant number, since it is smaller than the sum of its proper divisors (8217880912314).

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

6652678762566 is a wasteful number, since it uses less digits than its factorization.

6652678762566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14087 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 6652678762566 in words is "six trillion, six hundred fifty-two billion, six hundred seventy-eight million, seven hundred sixty-two thousand, five hundred sixty-six".