66191585465628 has 216 divisors, whose sum is σ = 201543689299680. Its totient is φ = 18241849140480.

The previous prime is 66191585465623. The next prime is 66191585465641. The reversal of 66191585465628 is 82656458519166.

66191585465628 is a `hidden beast` number, since 6 + 6 + 1 + 9 + 1 + 5 + 8 + 54 + 6 + 562 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66191585465623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51596625 + ... + 52863927.

Almost surely, 2^{66191585465628} 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 66191585465628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100771844649840).

66191585465628 is an abundant number, since it is smaller than the sum of its proper divisors (135352103834052).

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

66191585465628 is a wasteful number, since it uses less digits than its factorization.

66191585465628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268377 (or 1268365 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 66191585465628 in words is "sixty-six trillion, one hundred ninety-one billion, five hundred eighty-five million, four hundred sixty-five thousand, six hundred twenty-eight".