1000635068160 has 2160 divisors, whose sum is σ = 4559121151200. Its totient is φ = 207681159168.

The previous prime is 1000635068141. The next prime is 1000635068161. The reversal of 1000635068160 is 618605360001.

It is a happy number.

1000635068160 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 635 + 0 + 6 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000635068161) 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 239 ways as a sum of consecutive naturals, for example, 7198813371 + ... + 7198813509.

Almost surely, 2^{1000635068160} is an apocalyptic number.

1000635068160 is a gapful number since it is divisible by the number (10) 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 1000635068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279560575600).

1000635068160 is an abundant number, since it is smaller than the sum of its proper divisors (3558486083040).

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

1000635068160 is a wasteful number, since it uses less digits than its factorization.

1000635068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1000635068160 in words is "one trillion, six hundred thirty-five million, sixty-eight thousand, one hundred sixty".