6412705920 has 96 divisors (see below), whose sum is σ = 22143895020. Its totient is φ = 1710053376.

The previous prime is 6412705913. The next prime is 6412705921. The reversal of 6412705920 is 295072146.

6412705920 is a `hidden beast` number, since 6 + 41 + 27 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5938860096 + 473845824 = 77064^2 + 21768^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6412705920² = 82245594432806092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6412705921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550899 + ... + 562418.

Almost surely, 2^6412705920 is an apocalyptic number.

6412705920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6412705920 is an abundant number, since it is smaller than the sum of its proper divisors (15731189100).

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

6412705920 is a wasteful number, since it uses less digits than its factorization.

6412705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113342 (or 1113327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6412705920 is about 80079.3726249151. The cubic root of 6412705920 is about 1857.8633807630.

The spelling of 6412705920 in words is "six billion, four hundred twelve million, seven hundred five thousand, nine hundred twenty".