6004773288720 has 120 divisors (see below), whose sum is σ = 21352267414296. Its totient is φ = 1507080351744.

The previous prime is 6004773288719. The next prime is 6004773288763. The reversal of 6004773288720 is 278823774006.

6004773288720 is a `hidden beast` number, since 60 + 0 + 477 + 32 + 8 + 87 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1308589572096 + 4696183716624 = 1143936^2 + 2167068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245280787 + ... + 245305266.

Almost surely, 2^{6004773288720} is an apocalyptic number.

6004773288720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6004773288720 is an abundant number, since it is smaller than the sum of its proper divisors (15347494125576).

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

6004773288720 is a wasteful number, since it uses less digits than its factorization.

6004773288720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490586089 (or 490586080 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 6004773288720 in words is "six trillion, four billion, seven hundred seventy-three million, two hundred eighty-eight thousand, seven hundred twenty".