36409375680 has 112 divisors (see below), whose sum is σ = 115709053824. Its totient is φ = 9699988480.

The previous prime is 36409375663. The next prime is 36409375693. The reversal of 36409375680 is 8657390463.

36409375680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029979 + ... + 1064741.

It is an arithmetic number, because the mean of its divisors is an integer number (1033116552).

Almost surely, 2^36409375680 is an apocalyptic number.

36409375680 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 36409375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854526912).

36409375680 is an abundant number, since it is smaller than the sum of its proper divisors (79299678144).

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

36409375680 is a wasteful number, since it uses less digits than its factorization.

36409375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35874 (or 35864 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 36409375680 in words is "thirty-six billion, four hundred nine million, three hundred seventy-five thousand, six hundred eighty".