66410400 has 288 divisors, whose sum is σ = 254983680. Its totient is φ = 14699520.

The previous prime is 66410387. The next prime is 66410417. The reversal of 66410400 is 401466.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991167 + ... + 991233.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^66410400 is an apocalyptic number.

66410400 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 66410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

66410400 is an abundant number, since it is smaller than the sum of its proper divisors (188573280).

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

66410400 is a wasteful number, since it uses less digits than its factorization.

66410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 66410400 is about 8149.2576349015. The cubic root of 66410400 is about 404.9599106790.

Adding to 66410400 its reverse (401466), we get a palindrome (66811866).

The spelling of 66410400 in words is "sixty-six million, four hundred ten thousand, four hundred".