635740016875040 has 2304 divisors, whose sum is σ = 2091264550502400. Its totient is φ = 178057211904000.

The previous prime is 635740016875001. The next prime is 635740016875127. The reversal of 635740016875040 is 40578610047536.

It is a happy number.

It is a super-2 number, since 2×635740016875040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1141364482442 + ... + 1141364482998.

It is an arithmetic number, because the mean of its divisors is an integer number (907666905600).

Almost surely, 2^{635740016875040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635740016875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045632275251200).

635740016875040 is an abundant number, since it is smaller than the sum of its proper divisors (1455524533627360).

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

635740016875040 is a wasteful number, since it uses less digits than its factorization.

635740016875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 635740016875040 in words is "six hundred thirty-five trillion, seven hundred forty billion, sixteen million, eight hundred seventy-five thousand, forty".