6450943968 has 144 divisors (see below), whose sum is σ = 21025105920. Its totient is φ = 1837893888.

The previous prime is 6450943963. The next prime is 6450944009. The reversal of 6450943968 is 8693490546.

6450943968 is a `hidden beast` number, since 6 + 4 + 509 + 43 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6450943968² = 83229356156551170048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450943963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735513 + ... + 744231.

It is an arithmetic number, because the mean of its divisors is an integer number (146007680).

Almost surely, 2^6450943968 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 6450943968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512552960).

6450943968 is an abundant number, since it is smaller than the sum of its proper divisors (14574161952).

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

6450943968 is a wasteful number, since it uses less digits than its factorization.

6450943968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6450943968 is about 80317.7686941065. The cubic root of 6450943968 is about 1861.5487897696.

The spelling of 6450943968 in words is "six billion, four hundred fifty million, nine hundred forty-three thousand, nine hundred sixty-eight".