6454817280 has 240 divisors, whose sum is σ = 22456904184. Its totient is φ = 1713438720.

The previous prime is 6454817279. The next prime is 6454817311. The reversal of 6454817280 is 827184546.

It can be written as a sum of positive squares in 4 ways, for example, as 6265039104 + 189778176 = 79152^2 + 13776^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6454817280² = 83329332236373196800, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6473742 + ... + 6474738.

Almost surely, 2^6454817280 is an apocalyptic number.

6454817280 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 6454817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228452092).

6454817280 is an abundant number, since it is smaller than the sum of its proper divisors (16002086904).

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

6454817280 is a wasteful number, since it uses less digits than its factorization.

6454817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 6454817280 is about 80341.8774985997. The cubic root of 6454817280 is about 1861.9212890859.

The spelling of 6454817280 in words is "six billion, four hundred fifty-four million, eight hundred seventeen thousand, two hundred eighty".