66208361472 has 352 divisors, whose sum is σ = 214921244160. Its totient is φ = 19967754240.

The previous prime is 66208361467. The next prime is 66208361473. The reversal of 66208361472 is 27416380266.

66208361472 is a `hidden beast` number, since 6 + 6 + 20 + 8 + 3 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (66208361473) 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, 89109133 + ... + 89109875.

Almost surely, 2^66208361472 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 66208361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107460622080).

66208361472 is an abundant number, since it is smaller than the sum of its proper divisors (148712882688).

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

66208361472 is a wasteful number, since it uses less digits than its factorization.

66208361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66208361472 in words is "sixty-six billion, two hundred eight million, three hundred sixty-one thousand, four hundred seventy-two".