36775864944 has 720 divisors, whose sum is σ = 138311147520. Its totient is φ = 9366658560.

The previous prime is 36775864943. The next prime is 36775864987. The reversal of 36775864944 is 44946857763.

It is a happy number.

36775864944 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 586 + 4 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (121927680) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36775864943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76776097 + ... + 76776575.

It is an arithmetic number, because the mean of its divisors is an integer number (192098816).

Almost surely, 2^36775864944 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 36775864944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155573760).

36775864944 is an abundant number, since it is smaller than the sum of its proper divisors (101535282576).

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

36775864944 is a wasteful number, since it uses less digits than its factorization.

36775864944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 535 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 36775864944 in words is "thirty-six billion, seven hundred seventy-five million, eight hundred sixty-four thousand, nine hundred forty-four".