6642665000 has 120 divisors (see below), whose sum is σ = 16536729990. Its totient is φ = 2500224000.

The previous prime is 6642664981. The next prime is 6642665129. The reversal of 6642665000 is 5662466.

It can be written as a sum of positive squares in 15 ways, for example, as 2354772676 + 4287892324 = 48526^2 + 65482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1442702 + ... + 1447298.

Almost surely, 2^6642665000 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 6642665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268364995).

6642665000 is an abundant number, since it is smaller than the sum of its proper divisors (9894064990).

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

6642665000 is a wasteful number, since it uses less digits than its factorization.

6642665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 6642665000 is about 81502.5459725032. The cubic root of 6642665000 is about 1879.8106984587.

The spelling of 6642665000 in words is "six billion, six hundred forty-two million, six hundred sixty-five thousand".