6483456720 has 480 divisors, whose sum is σ = 24456580512. Its totient is φ = 1528823808.

The previous prime is 6483456701. The next prime is 6483456739. The reversal of 6483456720 is 276543846.

6483456720 is a `hidden beast` number, since 6 + 4 + 83 + 4 + 567 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6483456701) and next prime (6483456739).

It can be written as a sum of positive squares in 16 ways, for example, as 2020682304 + 4462774416 = 44952^2 + 66804^2 .

It is a super-2 number, since 2×6483456720² = 84070422080226316800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33592944 + ... + 33593136.

Almost surely, 2^6483456720 is an apocalyptic number.

6483456720 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 6483456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228290256).

6483456720 is an abundant number, since it is smaller than the sum of its proper divisors (17973123792).

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

6483456720 is a wasteful number, since it uses less digits than its factorization.

6483456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6483456720 is about 80519.9150521161. The cubic root of 6483456720 is about 1864.6709518265.

It can be divided in two parts, 6483 and 456720, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 6483456720 in words is "six billion, four hundred eighty-three million, four hundred fifty-six thousand, seven hundred twenty".