6644601600 has 432 divisors, whose sum is σ = 26996105472. Its totient is φ = 1401569280.

The previous prime is 6644601569. The next prime is 6644601637. The reversal of 6644601600 is 61064466.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745299 + ... + 1749101.

Almost surely, 2^6644601600 is an apocalyptic number.

6644601600 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 6644601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498052736).

6644601600 is an abundant number, since it is smaller than the sum of its proper divisors (20351503872).

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

6644601600 is a wasteful number, since it uses less digits than its factorization.

6644601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6644601600 is about 81514.4257171698. The cubic root of 6644601600 is about 1879.9933604715.

The spelling of 6644601600 in words is "six billion, six hundred forty-four million, six hundred one thousand, six hundred".