66414440016 has 120 divisors (see below), whose sum is σ = 192493159560. Its totient is φ = 21350784000.

The previous prime is 66414439997. The next prime is 66414440041. The reversal of 66414440016 is 61004441466.

66414440016 is a `hidden beast` number, since 6 + 641 + 4 + 4 + 4 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37521239616 + 28893200400 = 193704^2 + 169980^2 .

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 23 ways as a sum of consecutive naturals, for example, 3921166 + ... + 3938066.

It is an arithmetic number, because the mean of its divisors is an integer number (1604109663).

Almost surely, 2^66414440016 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 66414440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96246579780).

66414440016 is an abundant number, since it is smaller than the sum of its proper divisors (126078719544).

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

66414440016 is a wasteful number, since it uses less digits than its factorization.

66414440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17885 (or 17876 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66414440016 in words is "sixty-six billion, four hundred fourteen million, four hundred forty thousand, sixteen".