66527768448 has 256 divisors, whose sum is σ = 209304000000. Its totient is φ = 20730470400.

The previous prime is 66527768441. The next prime is 66527768467. The reversal of 66527768448 is 84486772566.

66527768448 is a `hidden beast` number, since 6 + 6 + 527 + 7 + 68 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66527768441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8867803 + ... + 8875301.

It is an arithmetic number, because the mean of its divisors is an integer number (817593750).

Almost surely, 2^66527768448 is an apocalyptic number.

66527768448 is a gapful number since it is divisible by the number (68) 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 66527768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000000).

66527768448 is an abundant number, since it is smaller than the sum of its proper divisors (142776231552).

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

66527768448 is a wasteful number, since it uses less digits than its factorization.

66527768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7672 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 66527768448 in words is "sixty-six billion, five hundred twenty-seven million, seven hundred sixty-eight thousand, four hundred forty-eight".