6000624062240 has 96 divisors (see below), whose sum is σ = 14256375840000. Its totient is φ = 2386736022528.

The previous prime is 6000624062203. The next prime is 6000624062243. The reversal of 6000624062240 is 422604260006.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6000624062197 and 6000624062206.

It is not an unprimeable number, because it can be changed into a prime (6000624062243) 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 15 ways as a sum of consecutive naturals, for example, 53084501 + ... + 53197419.

It is an arithmetic number, because the mean of its divisors is an integer number (148503915000).

Almost surely, 2^{6000624062240} 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 6000624062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128187920000).

6000624062240 is an abundant number, since it is smaller than the sum of its proper divisors (8255751777760).

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

6000624062240 is a wasteful number, since it uses less digits than its factorization.

6000624062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114802 (or 114794 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 6000624062240 in words is "six trillion, six hundred twenty-four million, sixty-two thousand, two hundred forty".