66846400 has 84 divisors (see below), whose sum is σ = 168661080. Its totient is φ = 26060800.

The previous prime is 66846391. The next prime is 66846407. The reversal of 66846400 is 464866.

It is not an unprimeable number, because it can be changed into a prime (66846407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65091 + ... + 66109.

It is an arithmetic number, because the mean of its divisors is an integer number (2007870).

Almost surely, 2^66846400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84330540).

66846400 is an abundant number, since it is smaller than the sum of its proper divisors (101814680).

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

66846400 is a wasteful number, since it uses less digits than its factorization.

66846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 66846400 is about 8175.9647748752. The cubic root of 66846400 is about 405.8441975409.

The spelling of 66846400 in words is "sixty-six million, eight hundred forty-six thousand, four hundred".