36075540240 has 200 divisors, whose sum is σ = 125460327168. Its totient is φ = 9607507200.

The previous prime is 36075540197. The next prime is 36075540269. The reversal of 36075540240 is 4204557063.

36075540240 is a `hidden beast` number, since 3 + 6 + 0 + 75 + 540 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36075540195 and 36075540204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5589015 + ... + 5595465.

Almost surely, 2^36075540240 is an apocalyptic number.

36075540240 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 36075540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62730163584).

36075540240 is an abundant number, since it is smaller than the sum of its proper divisors (89384786928).

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

36075540240 is a wasteful number, since it uses less digits than its factorization.

36075540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 36075540240 in words is "thirty-six billion, seventy-five million, five hundred forty thousand, two hundred forty".