6819500160 has 320 divisors, whose sum is σ = 26569857600. Its totient is φ = 1653073920.

The previous prime is 6819500141. The next prime is 6819500179. The reversal of 6819500160 is 610059186.

It is an interprime number because it is at equal distance from previous prime (6819500141) and next prime (6819500179).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 564261 + ... + 576219.

It is an arithmetic number, because the mean of its divisors is an integer number (83030805).

Almost surely, 2^6819500160 is an apocalyptic number.

6819500160 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 6819500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284928800).

6819500160 is an abundant number, since it is smaller than the sum of its proper divisors (19750357440).

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

6819500160 is a wasteful number, since it uses less digits than its factorization.

6819500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 6819500160 is about 82580.2649547699. The cubic root of 6819500160 is about 1896.3457148790.

The spelling of 6819500160 in words is "six billion, eight hundred nineteen million, five hundred thousand, one hundred sixty".