6766216632 has 128 divisors (see below), whose sum is σ = 21937305600. Its totient is φ = 1892052864.

The previous prime is 6766216621. The next prime is 6766216649. The reversal of 6766216632 is 2366126676.

6766216632 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 2 + 1 + 6 + 632 = 666.

It is a super-2 number, since 2×6766216632² = 91563375022306846848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 23458 + ... + 118670.

It is an arithmetic number, because the mean of its divisors is an integer number (171385200).

Almost surely, 2^6766216632 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 6766216632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968652800).

6766216632 is an abundant number, since it is smaller than the sum of its proper divisors (15171088968).

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

6766216632 is a wasteful number, since it uses less digits than its factorization.

6766216632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95282 (or 95272 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6766216632 is about 82257.0157007899. The cubic root of 6766216632 is about 1891.3938219310.

The spelling of 6766216632 in words is "six billion, seven hundred sixty-six million, two hundred sixteen thousand, six hundred thirty-two".