6000546486960 has 1280 divisors, whose sum is σ = 22946731315200. Its totient is φ = 1436544958464.

The previous prime is 6000546486953. The next prime is 6000546487027. The reversal of 6000546486960 is 696846450006.

6000546486960 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 546 + 4 + 8 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6000546486897 and 6000546486906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7034637894 + ... + 7034638746.

It is an arithmetic number, because the mean of its divisors is an integer number (17927133840).

Almost surely, 2^{6000546486960} is an apocalyptic number.

6000546486960 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 6000546486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473365657600).

6000546486960 is an abundant number, since it is smaller than the sum of its proper divisors (16946184828240).

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

6000546486960 is a wasteful number, since it uses less digits than its factorization.

6000546486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6000546486960 in words is "six trillion, five hundred forty-six million, four hundred eighty-six thousand, nine hundred sixty".