6905005096 has 64 divisors (see below), whose sum is σ = 14630803200. Its totient is φ = 3026284800.

The previous prime is 6905005091. The next prime is 6905005097.

6905005096 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6905005091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2583841 + ... + 2586511.

It is an arithmetic number, because the mean of its divisors is an integer number (228606300).

Almost surely, 2^6905005096 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 6905005096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315401600).

6905005096 is an abundant number, since it is smaller than the sum of its proper divisors (7725798104).

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

6905005096 is a wasteful number, since it uses less digits than its factorization.

6905005096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 6905005096 is about 83096.3603053708. The cubic root of 6905005096 is about 1904.2384692074.

It can be divided in two parts, 690500 and 5096, that added together give a palindrome (695596).

The spelling of 6905005096 in words is "six billion, nine hundred five million, five thousand, ninety-six".