66774400 has 192 divisors, whose sum is σ = 206415360. Its totient is φ = 20736000.

The previous prime is 66774397. The next prime is 66774427. The reversal of 66774400 is 447766.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246265 + ... + 246535.

It is an arithmetic number, because the mean of its divisors is an integer number (1075080).

Almost surely, 2^66774400 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 66774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

66774400 is an abundant number, since it is smaller than the sum of its proper divisors (139640960).

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

66774400 is a wasteful number, since it uses less digits than its factorization.

66774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 66774400 is about 8171.5604384964. The cubic root of 66774400 is about 405.6984341206.

The spelling of 66774400 in words is "sixty-six million, seven hundred seventy-four thousand, four hundred".