635675040 has 960 divisors, whose sum is σ = 3073593600. Its totient is φ = 121927680.

The previous prime is 635675017. The next prime is 635675087. The reversal of 635675040 is 40576536.

635675040 is a `hidden beast` number, since 6 + 3 + 567 + 50 + 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 = 635674986 and 635675004.

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 159 ways as a sum of consecutive naturals, for example, 48898074 + ... + 48898086.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2^635675040 is an apocalyptic number.

635675040 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 635675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

635675040 is an abundant number, since it is smaller than the sum of its proper divisors (2437918560).

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

635675040 is a wasteful number, since it uses less digits than its factorization.

635675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 635675040 is about 25212.5968515740. The cubic root of 635675040 is about 859.8282692974.

The spelling of 635675040 in words is "six hundred thirty-five million, six hundred seventy-five thousand, forty".