36909840000 has 960 divisors, whose sum is σ = 142397418240. Its totient is φ = 8448000000.

The previous prime is 36909839999. The next prime is 36909840007. The reversal of 36909840000 is 4890963.

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

It is not an unprimeable number, because it can be changed into a prime (36909840007) 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, 900239980 + ... + 900240020.

It is an arithmetic number, because the mean of its divisors is an integer number (148330644).

Almost surely, 2^36909840000 is an apocalyptic number.

36909840000 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 36909840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198709120).

36909840000 is an abundant number, since it is smaller than the sum of its proper divisors (105487578240).

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

36909840000 is a wasteful number, since it uses less digits than its factorization.

36909840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 36909840000 in words is "thirty-six billion, nine hundred nine million, eight hundred forty thousand".