6661430400 has 384 divisors, whose sum is σ = 23525280000. Its totient is φ = 1651691520.

The previous prime is 6661430359. The next prime is 6661430411. The reversal of 6661430400 is 40341666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10761291 + ... + 10761909.

It is an arithmetic number, because the mean of its divisors is an integer number (61263750).

Almost surely, 2^6661430400 is an apocalyptic number.

6661430400 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 6661430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762640000).

6661430400 is an abundant number, since it is smaller than the sum of its proper divisors (16863849600).

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

6661430400 is a wasteful number, since it uses less digits than its factorization.

6661430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6661430400 is about 81617.5863402000. The cubic root of 6661430400 is about 1881.5791771378.

The spelling of 6661430400 in words is "six billion, six hundred sixty-one million, four hundred thirty thousand, four hundred".