36082650240 has 1536 divisors, whose sum is σ = 166167106560. Its totient is φ = 7007109120.

The previous prime is 36082650221. The next prime is 36082650287. The reversal of 36082650240 is 4205628063.

36082650240 is a `hidden beast` number, since 3 + 608 + 2 + 6 + 5 + 0 + 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 = 36082650195 and 36082650204.

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 191 ways as a sum of consecutive naturals, for example, 494282844 + ... + 494282916.

It is an arithmetic number, because the mean of its divisors is an integer number (108181710).

Almost surely, 2^36082650240 is an apocalyptic number.

36082650240 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 36082650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83083553280).

36082650240 is an abundant number, since it is smaller than the sum of its proper divisors (130084456320).

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

36082650240 is a wasteful number, since it uses less digits than its factorization.

36082650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36082650240 in words is "thirty-six billion, eighty-two million, six hundred fifty thousand, two hundred forty".