66413880 has 192 divisors, whose sum is σ = 242948160. Its totient is φ = 15611904.

The previous prime is 66413869. The next prime is 66413899. The reversal of 66413880 is 8831466.

It is a happy number.

66413880 is a `hidden beast` number, since 6 + 641 + 3 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107332 + ... + 107948.

It is an arithmetic number, because the mean of its divisors is an integer number (1265355).

Almost surely, 2^66413880 is an apocalyptic number.

66413880 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 66413880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121474080).

66413880 is an abundant number, since it is smaller than the sum of its proper divisors (176534280).

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

66413880 is a wasteful number, since it uses less digits than its factorization.

66413880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 66413880 is about 8149.4711484856. The cubic root of 66413880 is about 404.9669840484.

The spelling of 66413880 in words is "sixty-six million, four hundred thirteen thousand, eight hundred eighty".