6405761296 has 135 divisors (see below), whose sum is σ = 14628399877. Its totient is φ = 2714821120.

The previous prime is 6405761293. The next prime is 6405761359. The reversal of 6405761296 is 6921675046.

The square root of 6405761296 is 80036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4987184400 + 1418576896 = 70620^2 + 37664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6405761293) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59866875 + ... + 59866981.

Almost surely, 2^6405761296 is an apocalyptic number.

6405761296 is the 80036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6405761296

6405761296 is an abundant number, since it is smaller than the sum of its proper divisors (8222638581).

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

6405761296 is a wasteful number, since it uses less digits than its factorization.

6405761296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The cubic root of 6405761296 is about 1857.1924823392.

The spelling of 6405761296 in words is "six billion, four hundred five million, seven hundred sixty-one thousand, two hundred ninety-six".