6724176768 has 160 divisors (see below), whose sum is σ = 20657545920. Its totient is φ = 2168985600.

The previous prime is 6724176763. The next prime is 6724176869. The reversal of 6724176768 is 8676714276.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6724176763) 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 19 ways as a sum of consecutive naturals, for example, 310948 + ... + 331868.

It is an arithmetic number, because the mean of its divisors is an integer number (129109662).

Almost surely, 2^6724176768 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 6724176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328772960).

6724176768 is an abundant number, since it is smaller than the sum of its proper divisors (13933369152).

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

6724176768 is a wasteful number, since it uses less digits than its factorization.

6724176768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20957 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 6724176768 is about 82001.0778465747. The cubic root of 6724176768 is about 1887.4684776865.

The spelling of 6724176768 in words is "six billion, seven hundred twenty-four million, one hundred seventy-six thousand, seven hundred sixty-eight".