6716136420 has 144 divisors (see below), whose sum is σ = 23351223168. Its totient is φ = 1530593280.

The previous prime is 6716136407. The next prime is 6716136421. The reversal of 6716136420 is 246316176.

It is a happy number.

6716136420 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 1 + 3 + 642 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6716136421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429540 + ... + 444900.

It is an arithmetic number, because the mean of its divisors is an integer number (162161272).

Almost surely, 2^6716136420 is an apocalyptic number.

6716136420 is a gapful number since it is divisible by the number (60) 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 6716136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675611584).

6716136420 is an abundant number, since it is smaller than the sum of its proper divisors (16635086748).

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

6716136420 is a wasteful number, since it uses less digits than its factorization.

6716136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730 (or 15725 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6716136420 is about 81952.0373145171. The cubic root of 6716136420 is about 1886.7158722379.

The spelling of 6716136420 in words is "six billion, seven hundred sixteen million, one hundred thirty-six thousand, four hundred twenty".