66949271424 has 384 divisors, whose sum is σ = 232569792000. Its totient is φ = 18072096768.

The previous prime is 66949271407. The next prime is 66949271437. The reversal of 66949271424 is 42417294966.

66949271424 is a `hidden beast` number, since 6 + 6 + 9 + 492 + 7 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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, 15392002 + ... + 15396350.

It is an arithmetic number, because the mean of its divisors is an integer number (605650500).

Almost surely, 2^66949271424 is an apocalyptic number.

66949271424 is a gapful number since it is divisible by the number (64) 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 66949271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896000).

66949271424 is an abundant number, since it is smaller than the sum of its proper divisors (165620520576).

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

66949271424 is a wasteful number, since it uses less digits than its factorization.

66949271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4467 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 66949271424 in words is "sixty-six billion, nine hundred forty-nine million, two hundred seventy-one thousand, four hundred twenty-four".