6412960320 has 448 divisors, whose sum is σ = 23485303296. Its totient is φ = 1468661760.

The previous prime is 6412960289. The next prime is 6412960331. The reversal of 6412960320 is 230692146.

It is a super-2 number, since 2×6412960320² = 82252120131789004800, which contains 22 as substring.

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, 35430630 + ... + 35430810.

It is an arithmetic number, because the mean of its divisors is an integer number (52422552).

Almost surely, 2^6412960320 is an apocalyptic number.

6412960320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742651648).

6412960320 is an abundant number, since it is smaller than the sum of its proper divisors (17072342976).

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

6412960320 is a wasteful number, since it uses less digits than its factorization.

6412960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6412960320 is about 80080.9610331944. The cubic root of 6412960320 is about 1857.8879483532.

It can be divided in two parts, 641 and 2960320, that added together give a triangular number (2960961 = T₂₄₃₃).

The spelling of 6412960320 in words is "six billion, four hundred twelve million, nine hundred sixty thousand, three hundred twenty".