6662444400 has 300 divisors, whose sum is σ = 24310170984. Its totient is φ = 1747008000.

The previous prime is 6662444357. The next prime is 6662444471. The reversal of 6662444400 is 44442666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1974715 + ... + 1978085.

Almost surely, 2^6662444400 is an apocalyptic number.

6662444400 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 6662444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155085492).

6662444400 is an abundant number, since it is smaller than the sum of its proper divisors (17647726584).

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

6662444400 is a wasteful number, since it uses less digits than its factorization.

6662444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6662444400 is about 81623.7980003381. The cubic root of 6662444400 is about 1881.6746433451.

The spelling of 6662444400 in words is "six billion, six hundred sixty-two million, four hundred forty-four thousand, four hundred".