635645342000 has 480 divisors, whose sum is σ = 1713268677120. Its totient is φ = 227423116800.

The previous prime is 635645341999. The next prime is 635645342009. The reversal of 635645342000 is 243546536.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (635645342009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2070505847 + ... + 2070506153.

It is an arithmetic number, because the mean of its divisors is an integer number (3569309744).

Almost surely, 2^635645342000 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 635645342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856634338560).

635645342000 is an abundant number, since it is smaller than the sum of its proper divisors (1077623335120).

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

635645342000 is a wasteful number, since it uses less digits than its factorization.

635645342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 635645342000 its reverse (243546536), we get a palindrome (635888888536).

The spelling of 635645342000 in words is "six hundred thirty-five billion, six hundred forty-five million, three hundred forty-two thousand".