6468040296 has 128 divisors (see below), whose sum is σ = 18176256000. Its totient is φ = 2131033536.

The previous prime is 6468040279. The next prime is 6468040307. The reversal of 6468040296 is 6920408646.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11018515 + ... + 11019101.

It is an arithmetic number, because the mean of its divisors is an integer number (142002000).

Almost surely, 2^6468040296 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 6468040296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088128000).

6468040296 is an abundant number, since it is smaller than the sum of its proper divisors (11708215704).

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

6468040296 is a wasteful number, since it uses less digits than its factorization.

6468040296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6468040296 is about 80424.1275737574. The cubic root of 6468040296 is about 1863.1918348464.

It can be divided in two parts, 64680 and 40296, that added together give a 4-th power (104976 = 18⁴).

The spelling of 6468040296 in words is "six billion, four hundred sixty-eight million, forty thousand, two hundred ninety-six".