5635060992 has 648 divisors, whose sum is σ = 20038210920. Its totient is φ = 1513881600.

The previous prime is 5635060969. The next prime is 5635061017. The reversal of 5635060992 is 2990605365.

5635060992 is a `hidden beast` number, since 5 + 6 + 35 + 0 + 609 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 5232496896 = 20064^2 + 72336^2 .

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 71 ways as a sum of consecutive naturals, for example, 137440492 + ... + 137440532.

It is an arithmetic number, because the mean of its divisors is an integer number (30923165).

Almost surely, 2^5635060992 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 5635060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019105460).

5635060992 is an abundant number, since it is smaller than the sum of its proper divisors (14403149928).

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

5635060992 is a wasteful number, since it uses less digits than its factorization.

5635060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 5635060992 is about 75067.0433146264. The cubic root of 5635060992 is about 1779.5063429256.

The spelling of 5635060992 in words is "five billion, six hundred thirty-five million, sixty thousand, nine hundred ninety-two".