66493004760 has 512 divisors, whose sum is σ = 273482496000. Its totient is φ = 13993814016.

The previous prime is 66493004731. The next prime is 66493004777. The reversal of 66493004760 is 6740039466.

66493004760 is a `hidden beast` number, since 66 + 493 + 0 + 0 + 47 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60834774 + ... + 60835866.

It is an arithmetic number, because the mean of its divisors is an integer number (534145500).

Almost surely, 2^66493004760 is an apocalyptic number.

66493004760 is a gapful number since it is divisible by the number (60) 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 66493004760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136741248000).

66493004760 is an abundant number, since it is smaller than the sum of its proper divisors (206989491240).

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

66493004760 is a wasteful number, since it uses less digits than its factorization.

66493004760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 66493004760 in words is "sixty-six billion, four hundred ninety-three million, four thousand, seven hundred sixty".