6726147120 has 640 divisors, whose sum is σ = 29692385280. Its totient is φ = 1358622720.

The previous prime is 6726147107. The next prime is 6726147167. The reversal of 6726147120 is 217416276.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6153294 + ... + 6154386.

It is an arithmetic number, because the mean of its divisors is an integer number (46394352).

Almost surely, 2^6726147120 is an apocalyptic number.

6726147120 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 6726147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846192640).

6726147120 is an abundant number, since it is smaller than the sum of its proper divisors (22966238160).

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

6726147120 is a wasteful number, since it uses less digits than its factorization.

6726147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

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

The square root of 6726147120 is about 82013.0911501329. The cubic root of 6726147120 is about 1887.6528181754.

The spelling of 6726147120 in words is "six billion, seven hundred twenty-six million, one hundred forty-seven thousand, one hundred twenty".