66422400 has 384 divisors, whose sum is σ = 259536960. Its totient is φ = 14745600.

The previous prime is 66422387. The next prime is 66422407. The reversal of 66422400 is 422466.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (66422407) 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, 1795182 + ... + 1795218.

Almost surely, 2^66422400 is an apocalyptic number.

66422400 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 66422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

66422400 is an abundant number, since it is smaller than the sum of its proper divisors (193114560).

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

66422400 is a wasteful number, since it uses less digits than its factorization.

66422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66422400 is about 8149.9938650284. The cubic root of 66422400 is about 404.9843005650.

Adding to 66422400 its reverse (422466), we get a palindrome (66844866).

It can be divided in two parts, 66 and 422400, that multiplied together give a square (27878400 = 5280²).

The spelling of 66422400 in words is "sixty-six million, four hundred twenty-two thousand, four hundred".