1664574800 has 240 divisors, whose sum is σ = 4893258240. Its totient is φ = 531463680.

The previous prime is 1664574773. The next prime is 1664574809. The reversal of 1664574800 is 84754661.

It is a super-3 number, since 3×1664574800³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664574809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3564167 + ... + 3564633.

It is an arithmetic number, because the mean of its divisors is an integer number (20388576).

Almost surely, 2^1664574800 is an apocalyptic number.

1664574800 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 1664574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446629120).

1664574800 is an abundant number, since it is smaller than the sum of its proper divisors (3228683440).

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

1664574800 is a wasteful number, since it uses less digits than its factorization.

1664574800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 1664574800 is about 40799.2009725681. The cubic root of 1664574800 is about 1185.1348573874.

The spelling of 1664574800 in words is "one billion, six hundred sixty-four million, five hundred seventy-four thousand, eight hundred".