6004056960 has 320 divisors, whose sum is σ = 23393026800. Its totient is φ = 1455390720.

The previous prime is 6004056941. The next prime is 6004057001. The reversal of 6004056960 is 696504006.

It is a happy number.

6004056960 is a `hidden beast` number, since 600 + 40 + 5 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564976 + ... + 575504.

Almost surely, 2^6004056960 is an apocalyptic number.

6004056960 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 6004056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696513400).

6004056960 is an abundant number, since it is smaller than the sum of its proper divisors (17388969840).

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

6004056960 is a wasteful number, since it uses less digits than its factorization.

6004056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6004056960 is about 77485.8500630922. The cubic root of 6004056960 is about 1817.5300553120.

The spelling of 6004056960 in words is "six billion, four million, fifty-six thousand, nine hundred sixty".