66789400 has 48 divisors (see below), whose sum is σ = 156786840. Its totient is φ = 26457600.

The previous prime is 66789391. The next prime is 66789439. The reversal of 66789400 is 498766.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19840 + ... + 22960.

Almost surely, 2^66789400 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 66789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78393420).

66789400 is an abundant number, since it is smaller than the sum of its proper divisors (89997440).

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

66789400 is a wasteful number, since it uses less digits than its factorization.

66789400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 66789400 is about 8172.4782043148. The cubic root of 66789400 is about 405.7288101374.

The spelling of 66789400 in words is "sixty-six million, seven hundred eighty-nine thousand, four hundred".