636090000000 has 1024 divisors, whose sum is σ = 2610555816960. Its totient is φ = 133632000000.

The previous prime is 636089999921. The next prime is 636090000017. The reversal of 636090000000 is 90636.

It is a super-2 number, since 2×636090000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11650 × 5250 × 10400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2729999884 + ... + 2730000116.

It is an arithmetic number, because the mean of its divisors is an integer number (2549370915).

Almost surely, 2^636090000000 is an apocalyptic number.

636090000000 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 636090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305277908480).

636090000000 is an abundant number, since it is smaller than the sum of its proper divisors (1974465816960).

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

636090000000 is an frugal number, since it uses more digits than its factorization.

636090000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 636090000000 its reverse (90636), we get a palindrome (636090090636).

The spelling of 636090000000 in words is "six hundred thirty-six billion, ninety million", and thus it is an aban number.