66390683546880 has 5760 divisors, whose sum is σ = 324121861324800. Its totient is φ = 12832644464640.

The previous prime is 66390683546741. The next prime is 66390683546893. The reversal of 66390683546880 is 8864538609366.

66390683546880 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 0 + 6 + 83 + 5 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66390683546799 and 66390683546808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 422870595762 + ... + 422870595918.

It is an arithmetic number, because the mean of its divisors is an integer number (56271156480).

Almost surely, 2^{66390683546880} is an apocalyptic number.

66390683546880 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 66390683546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162060930662400).

66390683546880 is an abundant number, since it is smaller than the sum of its proper divisors (257731177777920).

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

66390683546880 is a wasteful number, since it uses less digits than its factorization.

66390683546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 66390683546880 in words is "sixty-six trillion, three hundred ninety billion, six hundred eighty-three million, five hundred forty-six thousand, eight hundred eighty".