66268175232 has 256 divisors, whose sum is σ = 208264089600. Its totient is φ = 18269798400.

The previous prime is 66268175221. The next prime is 66268175273. The reversal of 66268175232 is 23257186266.

66268175232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35080144 + ... + 35082032.

It is an arithmetic number, because the mean of its divisors is an integer number (813531600).

Almost surely, 2^66268175232 is an apocalyptic number.

66268175232 is a gapful number since it is divisible by the number (62) 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 66268175232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104132044800).

66268175232 is an abundant number, since it is smaller than the sum of its proper divisors (141995914368).

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

66268175232 is a wasteful number, since it uses less digits than its factorization.

66268175232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2353 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 66268175232 in words is "sixty-six billion, two hundred sixty-eight million, one hundred seventy-five thousand, two hundred thirty-two".