66075146928 has 240 divisors, whose sum is σ = 228766786560. Its totient is φ = 17884706688.

The previous prime is 66075146849. The next prime is 66075146957. The reversal of 66075146928 is 82964157066.

66075146928 is a `hidden beast` number, since 6 + 60 + 7 + 514 + 69 + 2 + 8 = 666.

66075146928 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 (54).

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, 1061401 + ... + 1121927.

It is an arithmetic number, because the mean of its divisors is an integer number (953194944).

Almost surely, 2^66075146928 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 66075146928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114383393280).

66075146928 is an abundant number, since it is smaller than the sum of its proper divisors (162691639632).

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

66075146928 is a wasteful number, since it uses less digits than its factorization.

66075146928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60589 (or 60558 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 66075146928 in words is "sixty-six billion, seventy-five million, one hundred forty-six thousand, nine hundred twenty-eight".