8101088640 has 480 divisors, whose sum is σ = 30290230080. Its totient is φ = 2061158400.

The previous prime is 8101088623. The next prime is 8101088651. The reversal of 8101088640 is 468801018.

8101088640 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 0 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 8101088595 and 8101088604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 114099805 + ... + 114099875.

It is an arithmetic number, because the mean of its divisors is an integer number (63104646).

Almost surely, 2^8101088640 is an apocalyptic number.

8101088640 is a gapful number since it is divisible by the number (80) 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 8101088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145115040).

8101088640 is an abundant number, since it is smaller than the sum of its proper divisors (22189141440).

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

8101088640 is an equidigital number, since it uses as much as digits as its factorization.

8101088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8101088640 is about 90006.0477968009. The cubic root of 8101088640 is about 2008.3888180046.

Adding to 8101088640 its reverse (468801018), we get a palindrome (8569889658).

The spelling of 8101088640 in words is "eight billion, one hundred one million, eighty-eight thousand, six hundred forty".