636145440 has 576 divisors, whose sum is σ = 2593793664. Its totient is φ = 130056192.

The previous prime is 636145439. The next prime is 636145459. The reversal of 636145440 is 44541636.

636145440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14794059 + ... + 14794101.

It is an arithmetic number, because the mean of its divisors is an integer number (4503114).

Almost surely, 2^636145440 is an apocalyptic number.

636145440 is a gapful number since it is divisible by the number (60) 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 636145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296896832).

636145440 is an abundant number, since it is smaller than the sum of its proper divisors (1957648224).

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

636145440 is a wasteful number, since it uses less digits than its factorization.

636145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 636145440 is about 25221.9237965703. The cubic root of 636145440 is about 860.0403081882.

The spelling of 636145440 in words is "six hundred thirty-six million, one hundred forty-five thousand, four hundred forty".