6642000 has 200 divisors, whose sum is σ = 24576552. Its totient is φ = 1728000.

The previous prime is 6641983. The next prime is 6642007. The reversal of 6642000 is 2466.

6642000 is a `hidden beast` number, since 664 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 5143824 = 1224^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161980 + ... + 162020.

Almost surely, 2^6642000 is an apocalyptic number.

6642000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288276).

6642000 is an abundant number, since it is smaller than the sum of its proper divisors (17934552).

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

6642000 is a wasteful number, since it uses less digits than its factorization.

6642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6642000 is about 2577.2077913897. The cubic root of 6642000 is about 187.9747966817.

Adding to 6642000 its reverse (2466), we get a palindrome (6644466).

The spelling of 6642000 in words is "six million, six hundred forty-two thousand".