66729604032 has 896 divisors, whose sum is σ = 253801676800. Its totient is φ = 17031306240.

The previous prime is 66729604021. The next prime is 66729604043. The reversal of 66729604032 is 23040692766.

66729604032 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 9 + 604 + 0 + 32 = 666.

66729604032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66729604021) and next prime (66729604043).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2152567857 + ... + 2152567887.

It is an arithmetic number, because the mean of its divisors is an integer number (283260800).

Almost surely, 2^66729604032 is an apocalyptic number.

66729604032 is a gapful number since it is divisible by the number (62) 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 66729604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126900838400).

66729604032 is an abundant number, since it is smaller than the sum of its proper divisors (187072072768).

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

66729604032 is an frugal number, since it uses more digits than its factorization.

66729604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

It can be divided in two parts, 66729 and 604032, that added together give a square (670761 = 819²).

The spelling of 66729604032 in words is "sixty-six billion, seven hundred twenty-nine million, six hundred four thousand, thirty-two".