6424657920 has 192 divisors, whose sum is σ = 22276919340. Its totient is φ = 1712848896.

The previous prime is 6424657861. The next prime is 6424657927. The reversal of 6424657920 is 297564246.

It can be written as a sum of positive squares in 2 ways, for example, as 5839405056 + 585252864 = 76416^2 + 24192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6424657927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1472382 + ... + 1476738.

Almost surely, 2^6424657920 is an apocalyptic number.

6424657920 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 6424657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138459670).

6424657920 is an abundant number, since it is smaller than the sum of its proper divisors (15852261420).

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

6424657920 is an equidigital number, since it uses as much as digits as its factorization.

6424657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6424657920 is about 80153.9638445910. The cubic root of 6424657920 is about 1859.0168928857.

The spelling of 6424657920 in words is "six billion, four hundred twenty-four million, six hundred fifty-seven thousand, nine hundred twenty".