6004764744 has 256 divisors, whose sum is σ = 17826324480. Its totient is φ = 1667128320.

The previous prime is 6004764739. The next prime is 6004764749. The reversal of 6004764744 is 4474674006.

It is an interprime number because it is at equal distance from previous prime (6004764739) and next prime (6004764749).

It is a super-3 number, since 3×6004764744³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6004764696 and 6004764705.

It is not an unprimeable number, because it can be changed into a prime (6004764749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15125154 + ... + 15125550.

It is an arithmetic number, because the mean of its divisors is an integer number (69634080).

Almost surely, 2^6004764744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004764744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913162240).

6004764744 is an abundant number, since it is smaller than the sum of its proper divisors (11821559736).

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

6004764744 is a wasteful number, since it uses less digits than its factorization.

6004764744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 6004764744 is about 77490.4171107628. The cubic root of 6004764744 is about 1817.6014719199.

The spelling of 6004764744 in words is "six billion, four million, seven hundred sixty-four thousand, seven hundred forty-four".