6454867968000 has 1200 divisors, whose sum is σ = 24314860874304. Its totient is φ = 1703647641600.

The previous prime is 6454867967963. The next prime is 6454867968011. The reversal of 6454867968000 is 8697684546.

6454867968000 is a `hidden beast` number, since 6 + 4 + 5 + 486 + 79 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27703295884 + ... + 27703296116.

Almost surely, 2^{6454867968000} is an apocalyptic number.

6454867968000 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 6454867968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157430437152).

6454867968000 is an abundant number, since it is smaller than the sum of its proper divisors (17859992906304).

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

6454867968000 is an equidigital number, since it uses as much as digits as its factorization.

6454867968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6454867968000 in words is "six trillion, four hundred fifty-four billion, eight hundred sixty-seven million, nine hundred sixty-eight thousand".