6617666000 has 160 divisors (see below), whose sum is σ = 17544698496. Its totient is φ = 2394240000.

The previous prime is 6617665993. The next prime is 6617666021. The reversal of 6617666000 is 6667166.

It is a happy number.

It is a super-3 number, since 3×6617666000³ (a number of 30 digits) contains 333 as substring.

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, 5125355 + ... + 5126645.

Almost surely, 2^6617666000 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 6617666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772349248).

6617666000 is an abundant number, since it is smaller than the sum of its proper divisors (10927032496).

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

6617666000 is a wasteful number, since it uses less digits than its factorization.

6617666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 6617666000 is about 81349.0381012585. The cubic root of 6617666000 is about 1877.4495746807.

It can be divided in two parts, 661766 and 6000, that added together give a palindrome (667766).

The spelling of 6617666000 in words is "six billion, six hundred seventeen million, six hundred sixty-six thousand".