6714052416 has 280 divisors, whose sum is σ = 21066312960. Its totient is φ = 2110924800.

The previous prime is 6714052393. The next prime is 6714052417. The reversal of 6714052416 is 6142504176.

6714052416 is a `hidden beast` number, since 6 + 7 + 1 + 405 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6714052417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6588355 + ... + 6589373.

It is an arithmetic number, because the mean of its divisors is an integer number (75236832).

Almost surely, 2^6714052416 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 6714052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533156480).

6714052416 is an abundant number, since it is smaller than the sum of its proper divisors (14352260544).

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

6714052416 is a wasteful number, since it uses less digits than its factorization.

6714052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6714052416 is about 81939.3215495466. The cubic root of 6714052416 is about 1886.5207039677.

The spelling of 6714052416 in words is "six billion, seven hundred fourteen million, fifty-two thousand, four hundred sixteen".