36668777333760 has 1584 divisors, whose sum is σ = 155260955566080. Its totient is φ = 7940417126400.

The previous prime is 36668777333647. The next prime is 36668777333767. The reversal of 36668777333760 is 6733377786663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×36668777333760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36668777333767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2246990881 + ... + 2247007199.

Almost surely, 2^{36668777333760} is an apocalyptic number.

36668777333760 is a gapful number since it is divisible by the number (30) 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 36668777333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77630477783040).

36668777333760 is an abundant number, since it is smaller than the sum of its proper divisors (118592178232320).

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

36668777333760 is a wasteful number, since it uses less digits than its factorization.

36668777333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16416 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 72.

The spelling of 36668777333760 in words is "thirty-six trillion, six hundred sixty-eight billion, seven hundred seventy-seven million, three hundred thirty-three thousand, seven hundred sixty".