36450040477760 has 448 divisors, whose sum is σ = 113872655769600. Its totient is φ = 10790336913408.

The previous prime is 36450040477679. The next prime is 36450040477769. The reversal of 36450040477760 is 6777404005463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (36450040477769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43292159 + ... + 44126081.

It is an arithmetic number, because the mean of its divisors is an integer number (254180035200).

Almost surely, 2^{36450040477760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36450040477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936327884800).

36450040477760 is an abundant number, since it is smaller than the sum of its proper divisors (77422615291840).

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

36450040477760 is a wasteful number, since it uses less digits than its factorization.

36450040477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834058 (or 834048 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 53.

The spelling of 36450040477760 in words is "thirty-six trillion, four hundred fifty billion, forty million, four hundred seventy-seven thousand, seven hundred sixty".