6450966456 has 64 divisors (see below), whose sum is σ = 17656358400. Its totient is φ = 1947859200.

The previous prime is 6450966439. The next prime is 6450966463. The reversal of 6450966456 is 6546690546.

It is a super-2 number, since 2×6450966456² = 83229936432874399872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6450966399 and 6450966408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30705 + ... + 117663.

It is an arithmetic number, because the mean of its divisors is an integer number (275880600).

Almost surely, 2^6450966456 is an apocalyptic number.

6450966456 is a gapful number since it is divisible by the number (66) 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 6450966456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828179200).

6450966456 is an abundant number, since it is smaller than the sum of its proper divisors (11205391944).

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

6450966456 is a wasteful number, since it uses less digits than its factorization.

6450966456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87260 (or 87256 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The square root of 6450966456 is about 80317.9086879134. The cubic root of 6450966456 is about 1861.5509528877.

The spelling of 6450966456 in words is "six billion, four hundred fifty million, nine hundred sixty-six thousand, four hundred fifty-six".