66440436466500 has 288 divisors, whose sum is σ = 209939763642336. Its totient is φ = 17688533990400.

The previous prime is 66440436466463. The next prime is 66440436466501. The reversal of 66440436466500 is 566463404466.

66440436466500 is a `hidden beast` number, since 6 + 6 + 4 + 40 + 4 + 36 + 4 + 66 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 57654286813764 + 8786149652736 = 7593042^2 + 2964144^2 .

It is not an unprimeable number, because it can be changed into a prime (66440436466501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14037698134 + ... + 14037702866.

It is an arithmetic number, because the mean of its divisors is an integer number (728957512647).

Almost surely, 2^{66440436466500} is an apocalyptic number.

66440436466500 is a gapful number since it is divisible by the number (60) 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 66440436466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104969881821168).

66440436466500 is an abundant number, since it is smaller than the sum of its proper divisors (143499327175836).

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

66440436466500 is a wasteful number, since it uses less digits than its factorization.

66440436466500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 66440436466500 in words is "sixty-six trillion, four hundred forty billion, four hundred thirty-six million, four hundred sixty-six thousand, five hundred".