6430126560 has 384 divisors, whose sum is σ = 24836668416. Its totient is φ = 1376010240.

The previous prime is 6430126559. The next prime is 6430126567. The reversal of 6430126560 is 656210346.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430126567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1576684 + ... + 1580756.

It is an arithmetic number, because the mean of its divisors is an integer number (64678824).

Almost surely, 2^6430126560 is an apocalyptic number.

6430126560 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 6430126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418334208).

6430126560 is an abundant number, since it is smaller than the sum of its proper divisors (18406541856).

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

6430126560 is a wasteful number, since it uses less digits than its factorization.

6430126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6430126560 is about 80188.0699356207. The cubic root of 6430126560 is about 1859.5442055785.

The spelling of 6430126560 in words is "six billion, four hundred thirty million, one hundred twenty-six thousand, five hundred sixty".