6641061600 has 144 divisors (see below), whose sum is σ = 21647364480. Its totient is φ = 1768435200.

The previous prime is 6641061571. The next prime is 6641061613. The reversal of 6641061600 is 61601466.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2204095 + ... + 2207105.

It is an arithmetic number, because the mean of its divisors is an integer number (150328920).

Almost surely, 2^6641061600 is an apocalyptic number.

6641061600 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 6641061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10823682240).

6641061600 is an abundant number, since it is smaller than the sum of its proper divisors (15006302880).

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

6641061600 is a wasteful number, since it uses less digits than its factorization.

6641061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6641061600 is about 81492.7088763160. The cubic root of 6641061600 is about 1879.6594373298.

The spelling of 6641061600 in words is "six billion, six hundred forty-one million, sixty-one thousand, six hundred".