36825085440 has 480 divisors, whose sum is σ = 149845471776. Its totient is φ = 8239841280.

The previous prime is 36825085397. The next prime is 36825085459. The reversal of 36825085440 is 4458052863.

36825085440 is a `hidden beast` number, since 3 + 6 + 82 + 50 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3289132 + ... + 3300308.

Almost surely, 2^36825085440 is an apocalyptic number.

36825085440 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 36825085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74922735888).

36825085440 is an abundant number, since it is smaller than the sum of its proper divisors (113020386336).

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

36825085440 is a wasteful number, since it uses less digits than its factorization.

36825085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11211 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 36825085440 in words is "thirty-six billion, eight hundred twenty-five million, eighty-five thousand, four hundred forty".