66112875648 has 512 divisors, whose sum is σ = 209564467200. Its totient is φ = 20483850240.

The previous prime is 66112875643. The next prime is 66112875677. The reversal of 66112875648 is 84657821166.

66112875648 is a `hidden beast` number, since 6 + 61 + 12 + 8 + 7 + 564 + 8 = 666.

It is a super-2 number, since 2×66112875648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66112875594 and 66112875603.

It is not an unprimeable number, because it can be changed into a prime (66112875641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520573761 + ... + 520573887.

It is an arithmetic number, because the mean of its divisors is an integer number (409305600).

Almost surely, 2^66112875648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66112875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104782233600).

66112875648 is an abundant number, since it is smaller than the sum of its proper divisors (143451591552).

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

66112875648 is a wasteful number, since it uses less digits than its factorization.

66112875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 66112875648 in words is "sixty-six billion, one hundred twelve million, eight hundred seventy-five thousand, six hundred forty-eight".