6007020216 has 64 divisors (see below), whose sum is σ = 15690585600. Its totient is φ = 1912825728.

The previous prime is 6007020211. The next prime is 6007020233. The reversal of 6007020216 is 6120207006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007020211) 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, 451045 + ... + 464171.

It is an arithmetic number, because the mean of its divisors is an integer number (245165400).

Almost surely, 2^6007020216 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 6007020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845292800).

6007020216 is an abundant number, since it is smaller than the sum of its proper divisors (9683565384).

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

6007020216 is a wasteful number, since it uses less digits than its factorization.

6007020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6007020216 is about 77504.9689761889. The cubic root of 6007020216 is about 1817.8290154473.

The spelling of 6007020216 in words is "six billion, seven million, twenty thousand, two hundred sixteen".