6872160960 has 672 divisors, whose sum is σ = 28818961920. Its totient is φ = 1509912576.

The previous prime is 6872160947. The next prime is 6872160991. The reversal of 6872160960 is 690612786.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82797079 + ... + 82797161.

It is an arithmetic number, because the mean of its divisors is an integer number (42885360).

Almost surely, 2^6872160960 is an apocalyptic number.

6872160960 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 6872160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409480960).

6872160960 is an abundant number, since it is smaller than the sum of its proper divisors (21946800960).

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

6872160960 is a wasteful number, since it uses less digits than its factorization.

6872160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6872160960 is about 82898.4979357286. The cubic root of 6872160960 is about 1901.2144553341.

The spelling of 6872160960 in words is "six billion, eight hundred seventy-two million, one hundred sixty thousand, nine hundred sixty".