6412607920 has 320 divisors, whose sum is σ = 17358888960. Its totient is φ = 2189721600.

The previous prime is 6412607917. The next prime is 6412607933. The reversal of 6412607920 is 297062146.

It is a super-2 number, since 2×6412607920² = 82243080671293452800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6412607920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66109312 + ... + 66109408.

It is an arithmetic number, because the mean of its divisors is an integer number (54246528).

Almost surely, 2^6412607920 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 6412607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679444480).

6412607920 is an abundant number, since it is smaller than the sum of its proper divisors (10946281040).

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

6412607920 is a wasteful number, since it uses less digits than its factorization.

6412607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 6412607920 is about 80078.7607296716. The cubic root of 6412607920 is about 1857.8539166594.

The spelling of 6412607920 in words is "six billion, four hundred twelve million, six hundred seven thousand, nine hundred twenty".