6420912960 has 336 divisors, whose sum is σ = 25872765120. Its totient is φ = 1334108160.

The previous prime is 6420912931. The next prime is 6420912989. The reversal of 6420912960 is 692190246.

It is an interprime number because it is at equal distance from previous prime (6420912931) and next prime (6420912989).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 511236 + ... + 523644.

Almost surely, 2^6420912960 is an apocalyptic number.

6420912960 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 6420912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936382560).

6420912960 is an abundant number, since it is smaller than the sum of its proper divisors (19451852160).

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

6420912960 is a wasteful number, since it uses less digits than its factorization.

6420912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6420912960 is about 80130.5993987316. The cubic root of 6420912960 is about 1858.6556131028.

The spelling of 6420912960 in words is "six billion, four hundred twenty million, nine hundred twelve thousand, nine hundred sixty".