6667414656 has 128 divisors (see below), whose sum is σ = 20400783360. Its totient is φ = 1889879040.

The previous prime is 6667414577. The next prime is 6667414657. The reversal of 6667414656 is 6564147666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6667414599 and 6667414608.

It is not an unprimeable number, because it can be changed into a prime (6667414657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331611 + ... + 351141.

It is an arithmetic number, because the mean of its divisors is an integer number (159381120).

Almost surely, 2^6667414656 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 6667414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200391680).

6667414656 is an abundant number, since it is smaller than the sum of its proper divisors (13733368704).

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

6667414656 is a wasteful number, since it uses less digits than its factorization.

6667414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19682 (or 19670 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 6667414656 is about 81654.2384447984. The cubic root of 6667414656 is about 1882.1424436209.

The spelling of 6667414656 in words is "six billion, six hundred sixty-seven million, four hundred fourteen thousand, six hundred fifty-six".