66029064192 has 624 divisors, whose sum is σ = 243769402240. Its totient is φ = 17414258688.

The previous prime is 66029064187. The next prime is 66029064197. The reversal of 66029064192 is 29146092066.

It is an interprime number because it is at equal distance from previous prime (66029064187) and next prime (66029064197).

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×66029064192² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66029064197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5079158778 + ... + 5079158790.

Almost surely, 2^66029064192 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 66029064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121884701120).

66029064192 is an abundant number, since it is smaller than the sum of its proper divisors (177740338048).

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

66029064192 is an frugal number, since it uses more digits than its factorization.

66029064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 66029064192 in words is "sixty-six billion, twenty-nine million, sixty-four thousand, one hundred ninety-two".