8636725440 has 896 divisors, whose sum is σ = 36950538240. Its totient is φ = 1881169920.

The previous prime is 8636725387. The next prime is 8636725459. The reversal of 8636725440 is 445276368.

8636725440 is a `hidden beast` number, since 8 + 6 + 36 + 72 + 544 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 200854059 + ... + 200854101.

It is an arithmetic number, because the mean of its divisors is an integer number (41239440).

Almost surely, 2^8636725440 is an apocalyptic number.

8636725440 is a gapful number since it is divisible by the number (80) 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 8636725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475269120).

8636725440 is an abundant number, since it is smaller than the sum of its proper divisors (28313812800).

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

8636725440 is an equidigital number, since it uses as much as digits as its factorization.

8636725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8636725440 is about 92933.9843114455. The cubic root of 8636725440 is about 2051.7118709019.

The spelling of 8636725440 in words is "eight billion, six hundred thirty-six million, seven hundred twenty-five thousand, four hundred forty".