666950400 has 162 divisors, whose sum is σ = 2384704140. Its totient is φ = 177838080.

The previous prime is 666950371. The next prime is 666950413. The reversal of 666950400 is 4059666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51811 + ... + 63389.

Almost surely, 2^666950400 is an apocalyptic number.

666950400 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 666950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192352070).

666950400 is an abundant number, since it is smaller than the sum of its proper divisors (1717753740).

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

666950400 is a wasteful number, since it uses less digits than its factorization.

666950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11611 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 666950400 is about 25825.3828626024. The cubic root of 666950400 is about 873.7043791072.

The spelling of 666950400 in words is "six hundred sixty-six million, nine hundred fifty thousand, four hundred".