635495120640 has 288 divisors, whose sum is σ = 2387781668160. Its totient is φ = 159496667136.

The previous prime is 635495120587. The next prime is 635495120641. The reversal of 635495120640 is 46021594536.

635495120640 is a `hidden beast` number, since 6 + 35 + 49 + 512 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635495120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46692 + ... + 1128348.

It is an arithmetic number, because the mean of its divisors is an integer number (8290908570).

Almost surely, 2^635495120640 is an apocalyptic number.

635495120640 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 635495120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193890834080).

635495120640 is an abundant number, since it is smaller than the sum of its proper divisors (1752286547520).

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

635495120640 is a wasteful number, since it uses less digits than its factorization.

635495120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081704 (or 1081684 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 635495120640 in words is "six hundred thirty-five billion, four hundred ninety-five million, one hundred twenty thousand, six hundred forty".