66553966080 has 960 divisors, whose sum is σ = 285266741760. Its totient is φ = 13998292992.

The previous prime is 66553966033. The next prime is 66553966103. The reversal of 66553966080 is 8066935566.

66553966080 is a `hidden beast` number, since 6 + 6 + 553 + 9 + 6 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113379547 + ... + 113380133.

It is an arithmetic number, because the mean of its divisors is an integer number (297152856).

Almost surely, 2^66553966080 is an apocalyptic number.

66553966080 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 66553966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142633370880).

66553966080 is an abundant number, since it is smaller than the sum of its proper divisors (218712775680).

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

66553966080 is a wasteful number, since it uses less digits than its factorization.

66553966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 66553966080 in words is "sixty-six billion, five hundred fifty-three million, nine hundred sixty-six thousand, eighty".