6416089344 has 432 divisors, whose sum is σ = 22427618304. Its totient is φ = 1725235200.

The previous prime is 6416089321. The next prime is 6416089349. The reversal of 6416089344 is 4439806146.

6416089344 is a `hidden beast` number, since 6 + 4 + 1 + 608 + 9 + 34 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6416089344.

It is not an unprimeable number, because it can be changed into a prime (6416089349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20498532 + ... + 20498844.

Almost surely, 2^6416089344 is an apocalyptic number.

6416089344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213809152).

6416089344 is an abundant number, since it is smaller than the sum of its proper divisors (16011528960).

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

6416089344 is a wasteful number, since it uses less digits than its factorization.

6416089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

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

The square root of 6416089344 is about 80100.4952793677. The cubic root of 6416089344 is about 1858.1900673152.

The spelling of 6416089344 in words is "six billion, four hundred sixteen million, eighty-nine thousand, three hundred forty-four".