66545256960 has 960 divisors, whose sum is σ = 300495267072. Its totient is φ = 13207339008.

The previous prime is 66545256937. The next prime is 66545256971. The reversal of 66545256960 is 6965254566.

It is a happy number.

66545256960 is a `hidden beast` number, since 6 + 6 + 54 + 525 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 66545256897 and 66545256906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35641947 + ... + 35643813.

Almost surely, 2^66545256960 is an apocalyptic number.

66545256960 is a gapful number since it is divisible by the number (60) 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 66545256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150247633536).

66545256960 is an abundant number, since it is smaller than the sum of its proper divisors (233950010112).

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

66545256960 is a wasteful number, since it uses less digits than its factorization.

66545256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 66545256960 in words is "sixty-six billion, five hundred forty-five million, two hundred fifty-six thousand, nine hundred sixty".