6412000608 has 144 divisors (see below), whose sum is σ = 20251380240. Its totient is φ = 1972878336.

The previous prime is 6412000607. The next prime is 6412000627. The reversal of 6412000608 is 8060002146.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6412000608² = 82227503593984739328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412000607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124060 + ... + 167972.

It is an arithmetic number, because the mean of its divisors is an integer number (140634585).

Almost surely, 2^6412000608 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 6412000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125690120).

6412000608 is an abundant number, since it is smaller than the sum of its proper divisors (13839379632).

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

6412000608 is a wasteful number, since it uses less digits than its factorization.

6412000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43958 (or 43931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6412000608 is about 80074.9686731128. The cubic root of 6412000608 is about 1857.7952648799.

The spelling of 6412000608 in words is "six billion, four hundred twelve million, six hundred eight", and thus it is an aban number.