6714126072 has 128 divisors (see below), whose sum is σ = 19616256000. Its totient is φ = 2124869760.

The previous prime is 6714126049. The next prime is 6714126077. The reversal of 6714126072 is 2706214176.

6714126072 is a `hidden beast` number, since 6 + 7 + 1 + 41 + 2 + 607 + 2 = 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 (6714126077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345429 + ... + 364347.

It is an arithmetic number, because the mean of its divisors is an integer number (153252000).

Almost surely, 2^6714126072 is an apocalyptic number.

6714126072 is a gapful number since it is divisible by the number (62) 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 6714126072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808128000).

6714126072 is an abundant number, since it is smaller than the sum of its proper divisors (12902129928).

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

6714126072 is a wasteful number, since it uses less digits than its factorization.

6714126072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19018 (or 19008 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6714126072 is about 81939.7710028531. The cubic root of 6714126072 is about 1886.5276025863.

The spelling of 6714126072 in words is "six billion, seven hundred fourteen million, one hundred twenty-six thousand, seventy-two".