6430242530880 has 1344 divisors, whose sum is σ = 27505124494848. Its totient is φ = 1345223393280.

The previous prime is 6430242530819. The next prime is 6430242530893. The reversal of 6430242530880 is 880352420346.

6430242530880 is a `hidden beast` number, since 6 + 4 + 30 + 2 + 4 + 2 + 530 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×6430242530880³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6224822844 + ... + 6224823876.

It is an arithmetic number, because the mean of its divisors is an integer number (20465122392).

Almost surely, 2^{6430242530880} is an apocalyptic number.

6430242530880 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 6430242530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752562247424).

6430242530880 is an abundant number, since it is smaller than the sum of its proper divisors (21074881963968).

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

6430242530880 is a wasteful number, since it uses less digits than its factorization.

6430242530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 6430242530880 in words is "six trillion, four hundred thirty billion, two hundred forty-two million, five hundred thirty thousand, eight hundred eighty".