66728970768096 has 1152 divisors, whose sum is σ = 240326772940800. Its totient is φ = 17096690995200.

The previous prime is 66728970768091. The next prime is 66728970768101. The reversal of 66728970768096 is 69086707982766.

It is an interprime number because it is at equal distance from previous prime (66728970768091) and next prime (66728970768101).

It is a super-2 number, since 2×66728970768096² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66728970768091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53001564715 + ... + 53001565973.

It is an arithmetic number, because the mean of its divisors is an integer number (208616990400).

Almost surely, 2^{66728970768096} 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 66728970768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120163386470400).

66728970768096 is an abundant number, since it is smaller than the sum of its proper divisors (173597802172704).

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

66728970768096 is a wasteful number, since it uses less digits than its factorization.

66728970768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 66728970768096 in words is "sixty-six trillion, seven hundred twenty-eight billion, nine hundred seventy million, seven hundred sixty-eight thousand, ninety-six".