6416945920 has 432 divisors, whose sum is σ = 19931256576. Its totient is φ = 1956864000.

The previous prime is 6416945897. The next prime is 6416945921. The reversal of 6416945920 is 295496146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416945921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48984255 + ... + 48984385.

It is an arithmetic number, because the mean of its divisors is an integer number (46137168).

Almost surely, 2^6416945920 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 6416945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9965628288).

6416945920 is an abundant number, since it is smaller than the sum of its proper divisors (13514310656).

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

6416945920 is a wasteful number, since it uses less digits than its factorization.

6416945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 6416945920 is about 80105.8419842149. The cubic root of 6416945920 is about 1858.2727558036.

The spelling of 6416945920 in words is "six billion, four hundred sixteen million, nine hundred forty-five thousand, nine hundred twenty".