66400488 has 288 divisors, whose sum is σ = 240084000. Its totient is φ = 16369920.

The previous prime is 66400469. The next prime is 66400489. The reversal of 66400488 is 88400466.

66400488 is a `hidden beast` number, since 6 + 640 + 0 + 4 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66400489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1125403 + ... + 1125461.

It is an arithmetic number, because the mean of its divisors is an integer number (833625).

Almost surely, 2^66400488 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 66400488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042000).

66400488 is an abundant number, since it is smaller than the sum of its proper divisors (173683512).

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

66400488 is a wasteful number, since it uses less digits than its factorization.

66400488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66400488 is about 8148.6494586526. The cubic root of 66400488 is about 404.9397624173.

The spelling of 66400488 in words is "sixty-six million, four hundred thousand, four hundred eighty-eight".