6642102000 has 320 divisors, whose sum is σ = 22562841600. Its totient is φ = 1678566400.

The previous prime is 6642101927. The next prime is 6642102007. The reversal of 6642102000 is 2012466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10265677 + ... + 10266323.

It is an arithmetic number, because the mean of its divisors is an integer number (70508880).

Almost surely, 2^6642102000 is an apocalyptic number.

6642102000 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 6642102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281420800).

6642102000 is an abundant number, since it is smaller than the sum of its proper divisors (15920739600).

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

6642102000 is a wasteful number, since it uses less digits than its factorization.

6642102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6642102000 is about 81499.0920194820. The cubic root of 6642102000 is about 1879.7575890854.

Adding to 6642102000 its reverse (2012466), we get a palindrome (6644114466).

The spelling of 6642102000 in words is "six billion, six hundred forty-two million, one hundred two thousand".