66527461104 has 120 divisors (see below), whose sum is σ = 186279081840. Its totient is φ = 20450267136.

The previous prime is 66527461073. The next prime is 66527461171. The reversal of 66527461104 is 40116472566.

It is a super-3 number, since 3×66527461104³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9966312 + ... + 9972984.

It is an arithmetic number, because the mean of its divisors is an integer number (1552325682).

Almost surely, 2^66527461104 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 66527461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139540920).

66527461104 is an abundant number, since it is smaller than the sum of its proper divisors (119751620736).

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

66527461104 is a wasteful number, since it uses less digits than its factorization.

66527461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 66527461104 in words is "sixty-six billion, five hundred twenty-seven million, four hundred sixty-one thousand, one hundred four".