66504149712 has 1280 divisors, whose sum is σ = 273262510080. Its totient is φ = 15054336000.

The previous prime is 66504149711. The next prime is 66504149729. The reversal of 66504149712 is 21794140566.

66504149712 is a `hidden beast` number, since 66 + 50 + 41 + 497 + 12 = 666.

It is a super-2 number, since 2×66504149712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66504149711) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1622052412 + ... + 1622052452.

It is an arithmetic number, because the mean of its divisors is an integer number (213486336).

Almost surely, 2^66504149712 is an apocalyptic number.

66504149712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66504149712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136631255040).

66504149712 is an abundant number, since it is smaller than the sum of its proper divisors (206758360368).

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

66504149712 is a wasteful number, since it uses less digits than its factorization.

66504149712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66504149712 in words is "sixty-six billion, five hundred four million, one hundred forty-nine thousand, seven hundred twelve".