6012478944 has 288 divisors, whose sum is σ = 19105632000. Its totient is φ = 1783812096.

The previous prime is 6012478933. The next prime is 6012478949. The reversal of 6012478944 is 4498742106.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6012478944² = 72299806104086710272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6012478944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012478949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12048807 + ... + 12049305.

It is an arithmetic number, because the mean of its divisors is an integer number (66339000).

Almost surely, 2^6012478944 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 6012478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552816000).

6012478944 is an abundant number, since it is smaller than the sum of its proper divisors (13093153056).

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

6012478944 is a wasteful number, since it uses less digits than its factorization.

6012478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6012478944 is about 77540.1763216979. The cubic root of 6012478944 is about 1818.3794841509.

The spelling of 6012478944 in words is "six billion, twelve million, four hundred seventy-eight thousand, nine hundred forty-four".