66973880064 has 576 divisors, whose sum is σ = 238524661760. Its totient is φ = 16184033280.

The previous prime is 66973880063. The next prime is 66973880093. The reversal of 66973880064 is 46008837966.

It is a happy number.

It is a super-2 number, since 2×66973880064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 66973879986 and 66973880013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66973880063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41163219 + ... + 41164845.

Almost surely, 2^66973880064 is an apocalyptic number.

66973880064 is a gapful number since it is divisible by the number (64) 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 66973880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119262330880).

66973880064 is an abundant number, since it is smaller than the sum of its proper divisors (171550781696).

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

66973880064 is a wasteful number, since it uses less digits than its factorization.

66973880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 66973880064 in words is "sixty-six billion, nine hundred seventy-three million, eight hundred eighty thousand, sixty-four".