6642146500 has 96 divisors (see below), whose sum is σ = 16756346880. Its totient is φ = 2273216000.

The previous prime is 6642146491. The next prime is 6642146513. The reversal of 6642146500 is 56412466.

It is a super-2 number, since 2×6642146500² = 88236220254924500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57981 + ... + 129019.

It is an arithmetic number, because the mean of its divisors is an integer number (174545280).

Almost surely, 2^6642146500 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 6642146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378173440).

6642146500 is an abundant number, since it is smaller than the sum of its proper divisors (10114200380).

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

6642146500 is a wasteful number, since it uses less digits than its factorization.

6642146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71086 (or 71074 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 6642146500 is about 81499.3650282013. The cubic root of 6642146500 is about 1879.7617870048.

Adding to 6642146500 its reverse (56412466), we get a palindrome (6698558966).

The spelling of 6642146500 in words is "six billion, six hundred forty-two million, one hundred forty-six thousand, five hundred".