66228480077760 has 6048 divisors, whose sum is σ = 328008560233536. Its totient is φ = 12139816550400.

The previous prime is 66228480077719. The next prime is 66228480077783. The reversal of 66228480077760 is 6777008482266.

66228480077760 is a `hidden beast` number, since 6 + 6 + 2 + 28 + 480 + 0 + 7 + 77 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 907239453084 + ... + 907239453156.

Almost surely, 2^{66228480077760} is an apocalyptic number.

66228480077760 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 66228480077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164004280116768).

66228480077760 is an abundant number, since it is smaller than the sum of its proper divisors (261780080155776).

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

66228480077760 is a wasteful number, since it uses less digits than its factorization.

66228480077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 66228480077760 in words is "sixty-six trillion, two hundred twenty-eight billion, four hundred eighty million, seventy-seven thousand, seven hundred sixty".