36667340706704 has 80 divisors (see below), whose sum is σ = 76272796108080. Its totient is φ = 17014296084480.

The previous prime is 36667340706683. The next prime is 36667340706751. The reversal of 36667340706704 is 40760704376663.

It can be written as a sum of positive squares in 8 ways, for example, as 9902652335104 + 26764688371600 = 3146848^2 + 5173460^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74592284 + ... + 75082244.

It is an arithmetic number, because the mean of its divisors is an integer number (953409951351).

Almost surely, 2^{36667340706704} is an apocalyptic number.

36667340706704 is a gapful number since it is divisible by the number (34) 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 36667340706704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38136398054040).

36667340706704 is an abundant number, since it is smaller than the sum of its proper divisors (39605455401376).

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

36667340706704 is a wasteful number, since it uses less digits than its factorization.

36667340706704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493828 (or 493822 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 59.

The spelling of 36667340706704 in words is "thirty-six trillion, six hundred sixty-seven billion, three hundred forty million, seven hundred six thousand, seven hundred four".