6004776960 has 672 divisors, whose sum is σ = 25761939840. Its totient is φ = 1259864064.

The previous prime is 6004776901. The next prime is 6004776971. The reversal of 6004776960 is 696774006.

6004776960 is a `hidden beast` number, since 60 + 0 + 477 + 69 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 33546151 + ... + 33546329.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^6004776960 is an apocalyptic number.

6004776960 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 6004776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880969920).

6004776960 is an abundant number, since it is smaller than the sum of its proper divisors (19757162880).

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

6004776960 is a wasteful number, since it uses less digits than its factorization.

6004776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6004776960 is about 77490.4959333724. The cubic root of 6004776960 is about 1817.6027044858.

The spelling of 6004776960 in words is "six billion, four million, seven hundred seventy-six thousand, nine hundred sixty".