664166400 has 336 divisors, whose sum is σ = 2340278784. Its totient is φ = 165806080.

The previous prime is 664166389. The next prime is 664166407. The reversal of 664166400 is 4661466.

It is a super-3 number, since 3×664166400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664166407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14131177 + ... + 14131223.

Almost surely, 2^664166400 is an apocalyptic number.

664166400 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 664166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170139392).

664166400 is an abundant number, since it is smaller than the sum of its proper divisors (1676112384).

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

664166400 is a wasteful number, since it uses less digits than its factorization.

664166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 664166400 is about 25771.4260373771. The cubic root of 664166400 is about 872.4870045656.

The spelling of 664166400 in words is "six hundred sixty-four million, one hundred sixty-six thousand, four hundred".