66326400 has 432 divisors, whose sum is σ = 281165040. Its totient is φ = 14837760.

The previous prime is 66326399. The next prime is 66326417. The reversal of 66326400 is 462366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411177 + ... + 1411223.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 2^66326400 is an apocalyptic number.

66326400 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 66326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582520).

66326400 is an abundant number, since it is smaller than the sum of its proper divisors (214838640).

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

66326400 is a wasteful number, since it uses less digits than its factorization.

66326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66326400 is about 8144.1021604594. The cubic root of 66326400 is about 404.7890991560.

Adding to 66326400 its reverse (462366), we get a palindrome (66788766).

The spelling of 66326400 in words is "sixty-six million, three hundred twenty-six thousand, four hundred".