36790242944 has 128 divisors (see below), whose sum is σ = 94955145600. Its totient is φ = 13788278784.

The previous prime is 36790242833. The next prime is 36790242949. The reversal of 36790242944 is 44924209763.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 36790242892 and 36790242901.

It is not an unprimeable number, because it can be changed into a prime (36790242949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138194 + ... + 304430.

It is an arithmetic number, because the mean of its divisors is an integer number (741837075).

Almost surely, 2^36790242944 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 36790242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477572800).

36790242944 is an abundant number, since it is smaller than the sum of its proper divisors (58164902656).

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

36790242944 is a wasteful number, since it uses less digits than its factorization.

36790242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166290 (or 166278 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 36790242944 in words is "thirty-six billion, seven hundred ninety million, two hundred forty-two thousand, nine hundred forty-four".