66822723072 has 480 divisors, whose sum is σ = 240960006144. Its totient is φ = 17385062400.

The previous prime is 66822723059. The next prime is 66822723073. The reversal of 66822723072 is 27032722866.

66822723072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66822723072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66822723073) 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, 16996947 + ... + 17000877.

Almost surely, 2^66822723072 is an apocalyptic number.

66822723072 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 66822723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120480003072).

66822723072 is an abundant number, since it is smaller than the sum of its proper divisors (174137283072).

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

66822723072 is a wasteful number, since it uses less digits than its factorization.

66822723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 66822723072 in words is "sixty-six billion, eight hundred twenty-two million, seven hundred twenty-three thousand, seventy-two".