36966165844608 has 6144 divisors, whose sum is σ = 168470184960000. Its totient is φ = 7725337804800.

The previous prime is 36966165844607. The next prime is 36966165844639. The reversal of 36966165844608 is 80644856166963.

36966165844608 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 6 + 1 + 6 + 5 + 8 + 4 + 4 + 608 = 666.

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 (36966165844603) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 859678275435 + ... + 859678275477.

It is an arithmetic number, because the mean of its divisors is an integer number (27420277500).

Almost surely, 2^{36966165844608} is an apocalyptic number.

36966165844608 is a gapful number since it is divisible by the number (38) 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 36966165844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84235092480000).

36966165844608 is an abundant number, since it is smaller than the sum of its proper divisors (131504019115392).

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

36966165844608 is a wasteful number, since it uses less digits than its factorization.

36966165844608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 36966165844608 in words is "thirty-six trillion, nine hundred sixty-six billion, one hundred sixty-five million, eight hundred forty-four thousand, six hundred eight".