8011768320 has 440 divisors, whose sum is σ = 29357697996. Its totient is φ = 2096160768.

The previous prime is 8011768291. The next prime is 8011768337. The reversal of 8011768320 is 238671108.

It can be written as a sum of positive squares in 2 ways, for example, as 7996651776 + 15116544 = 89424^2 + 3888^2 .

It is a super-2 number, since 2×8011768320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 151165414 + ... + 151165466.

Almost surely, 2^8011768320 is an apocalyptic number.

8011768320 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 8011768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678848998).

8011768320 is an abundant number, since it is smaller than the sum of its proper divisors (21345929676).

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

8011768320 is an frugal number, since it uses more digits than its factorization.

8011768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8011768320 is about 89508.4818327291. The cubic root of 8011768320 is about 2000.9802128462.

The spelling of 8011768320 in words is "eight billion, eleven million, seven hundred sixty-eight thousand, three hundred twenty".