6002436000 has 384 divisors, whose sum is σ = 22049314560. Its totient is φ = 1414656000.

The previous prime is 6002435983. The next prime is 6002436047. The reversal of 6002436000 is 6342006.

It is a super-4 number, since 4×6002436000⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4883386 + ... + 4884614.

It is an arithmetic number, because the mean of its divisors is an integer number (57420090).

Almost surely, 2^6002436000 is an apocalyptic number.

6002436000 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 6002436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024657280).

6002436000 is an abundant number, since it is smaller than the sum of its proper divisors (16046878560).

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

6002436000 is a wasteful number, since it uses less digits than its factorization.

6002436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6002436000 is about 77475.3896408401. The cubic root of 6002436000 is about 1817.3664765458.

Adding to 6002436000 its reverse (6342006), we get a palindrome (6008778006).

The spelling of 6002436000 in words is "six billion, two million, four hundred thirty-six thousand".