6813020160 has 468 divisors, whose sum is σ = 25170025608. Its totient is φ = 1767702528.

The previous prime is 6813020131. The next prime is 6813020167. The reversal of 6813020160 is 610203186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813020167) 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 35 ways as a sum of consecutive naturals, for example, 184135662 + ... + 184135698.

It is an arithmetic number, because the mean of its divisors is an integer number (53782106).

Almost surely, 2^6813020160 is an apocalyptic number.

6813020160 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 6813020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585012804).

6813020160 is an abundant number, since it is smaller than the sum of its proper divisors (18357005448).

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

6813020160 is an frugal number, since it uses more digits than its factorization.

6813020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6813020160 is about 82541.0210743725. The cubic root of 6813020160 is about 1895.7448783472.

The spelling of 6813020160 in words is "six billion, eight hundred thirteen million, twenty thousand, one hundred sixty".