6165460344960 has 384 divisors, whose sum is σ = 24897405836160. Its totient is φ = 1376474480640.

The previous prime is 6165460344959. The next prime is 6165460344973. The reversal of 6165460344960 is 694430645616.

6165460344960 is a `hidden beast` number, since 6 + 1 + 6 + 546 + 0 + 3 + 4 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6165460344897 and 6165460344906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44301 + ... + 3511820.

It is an arithmetic number, because the mean of its divisors is an integer number (64836994365).

Almost surely, 2^{6165460344960} is an apocalyptic number.

6165460344960 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 6165460344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448702918080).

6165460344960 is an abundant number, since it is smaller than the sum of its proper divisors (18731945491200).

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

6165460344960 is a wasteful number, since it uses less digits than its factorization.

6165460344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556196 (or 3556181 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6165460344960 in words is "six trillion, one hundred sixty-five billion, four hundred sixty million, three hundred forty-four thousand, nine hundred sixty".