66658587072 has 896 divisors, whose sum is σ = 245790720000. Its totient is φ = 15742218240.

The previous prime is 66658587071. The next prime is 66658587089. The reversal of 66658587072 is 27078585666.

It is a junction number, because it is equal to n+sod(n) for n = 66658586997 and 66658587015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66658587071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 399153133 + ... + 399153299.

It is an arithmetic number, because the mean of its divisors is an integer number (274320000).

Almost surely, 2^66658587072 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 66658587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360000).

66658587072 is an abundant number, since it is smaller than the sum of its proper divisors (179132132928).

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

66658587072 is a wasteful number, since it uses less digits than its factorization.

66658587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 66658587072 in words is "sixty-six billion, six hundred fifty-eight million, five hundred eighty-seven thousand, seventy-two".