1666828800 has 960 divisors, whose sum is σ = 7672008960. Its totient is φ = 345047040.

The previous prime is 1666828771. The next prime is 1666828811. The reversal of 1666828800 is 88286661.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 31449574 + ... + 31449626.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^1666828800 is an apocalyptic number.

1666828800 is a gapful number since it is divisible by the number (10) 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 1666828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836004480).

1666828800 is an abundant number, since it is smaller than the sum of its proper divisors (6005180160).

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

1666828800 is a wasteful number, since it uses less digits than its factorization.

1666828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1666828800 is about 40826.8147177808. The cubic root of 1666828800 is about 1185.6695463146.

The spelling of 1666828800 in words is "one billion, six hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred".