66733943377920 has 1664 divisors, whose sum is σ = 277736391475200. Its totient is φ = 13295444557824.

The previous prime is 66733943377877. The next prime is 66733943377951. The reversal of 66733943377920 is 2977334933766.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10158916396 + ... + 10158922964.

Almost surely, 2^{66733943377920} is an apocalyptic number.

66733943377920 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 66733943377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138868195737600).

66733943377920 is an abundant number, since it is smaller than the sum of its proper divisors (211002448097280).

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

66733943377920 is a wasteful number, since it uses less digits than its factorization.

66733943377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 648121824, while the sum is 69.

The spelling of 66733943377920 in words is "sixty-six trillion, seven hundred thirty-three billion, nine hundred forty-three million, three hundred seventy-seven thousand, nine hundred twenty".