66730692672 has 672 divisors, whose sum is σ = 244971417600. Its totient is φ = 17588938752.

The previous prime is 66730692617. The next prime is 66730692673. The reversal of 66730692672 is 27629603766.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66730692673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72611829 + ... + 72612747.

It is an arithmetic number, because the mean of its divisors is an integer number (364540800).

Almost surely, 2^66730692672 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 66730692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122485708800).

66730692672 is an abundant number, since it is smaller than the sum of its proper divisors (178240724928).

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

66730692672 is a wasteful number, since it uses less digits than its factorization.

66730692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 66730692672 in words is "sixty-six billion, seven hundred thirty million, six hundred ninety-two thousand, six hundred seventy-two".