6936414912 has 560 divisors, whose sum is σ = 24783897600. Its totient is φ = 1916296704.

The previous prime is 6936414907. The next prime is 6936414913. The reversal of 6936414912 is 2194146396.

It is a super-2 number, since 2×6936414912² = 96227703662831935488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6936414913) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83571223 + ... + 83571305.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^6936414912 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 6936414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391948800).

6936414912 is an abundant number, since it is smaller than the sum of its proper divisors (17847482688).

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

6936414912 is an equidigital number, since it uses as much as digits as its factorization.

6936414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 6936414912 is about 83285.1422043572. The cubic root of 6936414912 is about 1907.1214657222.

The spelling of 6936414912 in words is "six billion, nine hundred thirty-six million, four hundred fourteen thousand, nine hundred twelve".