36795942368640 has 960 divisors, whose sum is σ = 164617342742160. Its totient is φ = 7763532521472.

The previous prime is 36795942368617. The next prime is 36795942368641. The reversal of 36795942368640 is 4686324959763.

36795942368640 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 594 + 23 + 6 + 8 + 6 + 4 + 0 = 666.

36795942368640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36795942368641) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32464939 + ... + 33579221.

Almost surely, 2^{36795942368640} is an apocalyptic number.

36795942368640 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 36795942368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82308671371080).

36795942368640 is an abundant number, since it is smaller than the sum of its proper divisors (127821400373520).

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

36795942368640 is a wasteful number, since it uses less digits than its factorization.

36795942368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114341 (or 1114313 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 36795942368640 in words is "thirty-six trillion, seven hundred ninety-five billion, nine hundred forty-two million, three hundred sixty-eight thousand, six hundred forty".