66733771366080 has 1344 divisors, whose sum is σ = 286364131522560. Its totient is φ = 13888366313472.

The previous prime is 66733771366057. The next prime is 66733771366151. The reversal of 66733771366080 is 8066317733766.

It is a happy number.

66733771366080 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 3 + 7 + 7 + 13 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 66733771365999 and 66733771366017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16162209456 + ... + 16162213584.

It is an arithmetic number, because the mean of its divisors is an integer number (213068550240).

Almost surely, 2^{66733771366080} is an apocalyptic number.

66733771366080 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 66733771366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143182065761280).

66733771366080 is an abundant number, since it is smaller than the sum of its proper divisors (219630360156480).

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

66733771366080 is a wasteful number, since it uses less digits than its factorization.

66733771366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 66733771366080 in words is "sixty-six trillion, seven hundred thirty-three billion, seven hundred seventy-one million, three hundred sixty-six thousand, eighty".