6668582400 has 360 divisors, whose sum is σ = 24132578184. Its totient is φ = 1758412800.

The previous prime is 6668582369. The next prime is 6668582423. The reversal of 6668582400 is 42858666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12326130 + ... + 12326670.

Almost surely, 2^6668582400 is an apocalyptic number.

6668582400 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 6668582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066289092).

6668582400 is an abundant number, since it is smaller than the sum of its proper divisors (17463995784).

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

6668582400 is a wasteful number, since it uses less digits than its factorization.

6668582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6668582400 is about 81661.3886729830. The cubic root of 6668582400 is about 1882.2523179055.

The spelling of 6668582400 in words is "six billion, six hundred sixty-eight million, five hundred eighty-two thousand, four hundred".