66127063296 has 288 divisors, whose sum is σ = 206097337600. Its totient is φ = 18814795776.

The previous prime is 66127063273. The next prime is 66127063309. The reversal of 66127063296 is 69236072166.

66127063296 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, 98256816 + ... + 98257488.

Almost surely, 2^66127063296 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 66127063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103048668800).

66127063296 is an abundant number, since it is smaller than the sum of its proper divisors (139970274304).

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

66127063296 is an equidigital number, since it uses as much as digits as its factorization.

66127063296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 66127063296 in words is "sixty-six billion, one hundred twenty-seven million, sixty-three thousand, two hundred ninety-six".