66461960880672 has 192 divisors, whose sum is σ = 210152833228800. Its totient is φ = 17966307409920.

The previous prime is 66461960880671. The next prime is 66461960880673. The reversal of 66461960880672 is 27608806916466.

It is an interprime number because it is at equal distance from previous prime (66461960880671) and next prime (66461960880673).

It is a junction number, because it is equal to n+sod(n) for n = 66461960880597 and 66461960880606.

It is not an unprimeable number, because it can be changed into a prime (66461960880671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6434097 + ... + 13203087.

It is an arithmetic number, because the mean of its divisors is an integer number (1094546006400).

Almost surely, 2^{66461960880672} 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 66461960880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105076416614400).

66461960880672 is an abundant number, since it is smaller than the sum of its proper divisors (143690872348128).

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

66461960880672 is a wasteful number, since it uses less digits than its factorization.

66461960880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769799 (or 6769791 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 69.

The spelling of 66461960880672 in words is "sixty-six trillion, four hundred sixty-one billion, nine hundred sixty million, eight hundred eighty thousand, six hundred seventy-two".