66396575232 has 640 divisors, whose sum is σ = 227355448320. Its totient is φ = 18951045120.

The previous prime is 66396575227. The next prime is 66396575257. The reversal of 66396575232 is 23257569366.

66396575232 is a `hidden beast` number, since 6 + 6 + 39 + 6 + 575 + 2 + 32 = 666.

It is a super-3 number, since 3×66396575232³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314675607 + ... + 314675817.

It is an arithmetic number, because the mean of its divisors is an integer number (355242888).

Almost surely, 2^66396575232 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 66396575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113677724160).

66396575232 is an abundant number, since it is smaller than the sum of its proper divisors (160958873088).

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

66396575232 is a wasteful number, since it uses less digits than its factorization.

66396575232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 66396575232 in words is "sixty-six billion, three hundred ninety-six million, five hundred seventy-five thousand, two hundred thirty-two".