6420928320 has 560 divisors, whose sum is σ = 24146597376. Its totient is φ = 1617408000.

The previous prime is 6420928307. The next prime is 6420928333. The reversal of 6420928320 is 238290246.

6420928320 is a `hidden beast` number, since 642 + 0 + 9 + 2 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6420928307) and next prime (6420928333).

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

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 79 ways as a sum of consecutive naturals, for example, 49014655 + ... + 49014785.

Almost surely, 2^6420928320 is an apocalyptic number.

6420928320 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 6420928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073298688).

6420928320 is an abundant number, since it is smaller than the sum of its proper divisors (17725669056).

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

6420928320 is a wasteful number, since it uses less digits than its factorization.

6420928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6420928320 is about 80130.6952422104. The cubic root of 6420928320 is about 1858.6570951832.

It can be divided in two parts, 64209 and 28320, that added together give a palindrome (92529).

The spelling of 6420928320 in words is "six billion, four hundred twenty million, nine hundred twenty-eight thousand, three hundred twenty".