66512303104 has 88 divisors (see below), whose sum is σ = 144152605800. Its totient is φ = 30491049984.

The previous prime is 66512303087. The next prime is 66512303107. The reversal of 66512303104 is 40130321566.

It can be written as a sum of positive squares in 4 ways, for example, as 1205478400 + 65306824704 = 34720^2 + 255552^2 .

It is a super-3 number, since 3×66512303104³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66512303107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966722 + ... + 2000254.

Almost surely, 2^66512303104 is an apocalyptic number.

66512303104 is a gapful number since it is divisible by the number (64) 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 66512303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72076302900).

66512303104 is an abundant number, since it is smaller than the sum of its proper divisors (77640302696).

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

66512303104 is a wasteful number, since it uses less digits than its factorization.

66512303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33715 (or 33697 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 66512303104 in words is "sixty-six billion, five hundred twelve million, three hundred three thousand, one hundred four".