6160872960 has 800 divisors, whose sum is σ = 25061601312. Its totient is φ = 1433272320.

The previous prime is 6160872917. The next prime is 6160872961. The reversal of 6160872960 is 692780616.

6160872960 is a `hidden beast` number, since 616 + 0 + 8 + 7 + 29 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6160872961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84395484 + ... + 84395556.

Almost surely, 2^6160872960 is an apocalyptic number.

6160872960 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 6160872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530800656).

6160872960 is an abundant number, since it is smaller than the sum of its proper divisors (18900728352).

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

6160872960 is a wasteful number, since it uses less digits than its factorization.

6160872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

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

The square root of 6160872960 is about 78491.2285545334. The cubic root of 6160872960 is about 1833.2178804064.

The spelling of 6160872960 in words is "six billion, one hundred sixty million, eight hundred seventy-two thousand, nine hundred sixty".