6471920416 has 144 divisors (see below), whose sum is σ = 14454177192. Its totient is φ = 2833367040.

The previous prime is 6471920407. The next prime is 6471920431. The reversal of 6471920416 is 6140291746.

It can be written as a sum of positive squares in 12 ways, for example, as 1516323600 + 4955596816 = 38940^2 + 70396^2 .

It is a super-2 number, since 2×6471920416² = 83771507742075226112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57273576 + ... + 57273688.

Almost surely, 2^6471920416 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 6471920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227088596).

6471920416 is an abundant number, since it is smaller than the sum of its proper divisors (7982256776).

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

6471920416 is a wasteful number, since it uses less digits than its factorization.

6471920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 6471920416 is about 80448.2468174416. The cubic root of 6471920416 is about 1863.5643311222.

The spelling of 6471920416 in words is "six billion, four hundred seventy-one million, nine hundred twenty thousand, four hundred sixteen".