6430457761168 has 120 divisors (see below), whose sum is σ = 14723091868160. Its totient is φ = 2662498944000.

The previous prime is 6430457761153. The next prime is 6430457761187. The reversal of 6430457761168 is 8611677540346.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706142388 + ... + 1706146156.

Almost surely, 2^{6430457761168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6430457761168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361545934080).

6430457761168 is an abundant number, since it is smaller than the sum of its proper divisors (8292634106992).

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

6430457761168 is an equidigital number, since it uses as much as digits as its factorization.

6430457761168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 6430457761168 in words is "six trillion, four hundred thirty billion, four hundred fifty-seven million, seven hundred sixty-one thousand, one hundred sixty-eight".