66466752 has 84 divisors (see below), whose sum is σ = 193368168. Its totient is φ = 20134400.

The previous prime is 66466739. The next prime is 66466793. The reversal of 66466752 is 25766466.

It is a super-5 number, since 5×66466752⁵ (a number of 40 digits) contains 55555 as substring.

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, 21802 + ... + 24662.

It is an arithmetic number, because the mean of its divisors is an integer number (2302002).

Almost surely, 2^66466752 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 66466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96684084).

66466752 is an abundant number, since it is smaller than the sum of its proper divisors (126901416).

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

66466752 is a wasteful number, since it uses less digits than its factorization.

66466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2877 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 66466752 is about 8152.7143946050. The cubic root of 66466752 is about 405.0744200996.

The spelling of 66466752 in words is "sixty-six million, four hundred sixty-six thousand, seven hundred fifty-two".