6007298489920 has 224 divisors, whose sum is σ = 17818133292288. Its totient is φ = 1878304038912.

The previous prime is 6007298489917. The next prime is 6007298489981. The reversal of 6007298489920 is 299848927006.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6007298489920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174222 + ... + 3659698.

It is an arithmetic number, because the mean of its divisors is an integer number (79545237912).

Almost surely, 2^{6007298489920} 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 6007298489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909066646144).

6007298489920 is an abundant number, since it is smaller than the sum of its proper divisors (11810834802368).

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

6007298489920 is a wasteful number, since it uses less digits than its factorization.

6007298489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485597 (or 2485587 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 6007298489920 in words is "six trillion, seven billion, two hundred ninety-eight million, four hundred eighty-nine thousand, nine hundred twenty".