66757436928 has 1200 divisors, whose sum is σ = 264103408800. Its totient is φ = 16679706624.

The previous prime is 66757436899. The next prime is 66757436983. The reversal of 66757436928 is 82963475766.

66757436928 is a `hidden beast` number, since 6 + 6 + 7 + 574 + 36 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3513549303 + ... + 3513549321.

It is an arithmetic number, because the mean of its divisors is an integer number (220086174).

Almost surely, 2^66757436928 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 66757436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132051704400).

66757436928 is an abundant number, since it is smaller than the sum of its proper divisors (197345971872).

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

66757436928 is an equidigital number, since it uses as much as digits as its factorization.

66757436928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 66757436928 in words is "sixty-six billion, seven hundred fifty-seven million, four hundred thirty-six thousand, nine hundred twenty-eight".