66332400 has 120 divisors (see below), whose sum is σ = 214402944. Its totient is φ = 17529600.

The previous prime is 66332377. The next prime is 66332407. The reversal of 66332400 is 423366.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66332407) 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, 200235 + ... + 200565.

Almost surely, 2^66332400 is an apocalyptic number.

66332400 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 66332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107201472).

66332400 is an abundant number, since it is smaller than the sum of its proper divisors (148070544).

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

66332400 is a wasteful number, since it uses less digits than its factorization.

66332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 66332400 is about 8144.4705168599. The cubic root of 66332400 is about 404.8013047602.

Adding to 66332400 its reverse (423366), we get a palindrome (66755766).

The spelling of 66332400 in words is "sixty-six million, three hundred thirty-two thousand, four hundred".