6406473760 has 96 divisors (see below), whose sum is σ = 15481634112. Its totient is φ = 2504494080.

The previous prime is 6406473757. The next prime is 6406473767. The reversal of 6406473760 is 673746046.

It is not an unprimeable number, because it can be changed into a prime (6406473767) 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, 1588867 + ... + 1592893.

It is an arithmetic number, because the mean of its divisors is an integer number (161267022).

Almost surely, 2^6406473760 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 6406473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740817056).

6406473760 is an abundant number, since it is smaller than the sum of its proper divisors (9075160352).

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

6406473760 is a wasteful number, since it uses less digits than its factorization.

6406473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 6406473760 is about 80040.4507733433. The cubic root of 6406473760 is about 1857.2613335743.

The spelling of 6406473760 in words is "six billion, four hundred six million, four hundred seventy-three thousand, seven hundred sixty".