6459867348480 has 1920 divisors, whose sum is σ = 30000029875200. Its totient is φ = 1303497474048.

The previous prime is 6459867348463. The next prime is 6459867348497. The reversal of 6459867348480 is 848437689546.

6459867348480 is a `hidden beast` number, since 6 + 4 + 5 + 9 + 8 + 67 + 3 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6459867348463) and next prime (6459867348497).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6459867348399 and 6459867348408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1012673931 + ... + 1012680309.

It is an arithmetic number, because the mean of its divisors is an integer number (15625015560).

Almost surely, 2^{6459867348480} is an apocalyptic number.

6459867348480 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 6459867348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000014937600).

6459867348480 is an abundant number, since it is smaller than the sum of its proper divisors (23540162526720).

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

6459867348480 is a wasteful number, since it uses less digits than its factorization.

6459867348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 6459867348480 in words is "six trillion, four hundred fifty-nine billion, eight hundred sixty-seven million, three hundred forty-eight thousand, four hundred eighty".