6367345356960 has 1152 divisors, whose sum is σ = 27823404510720. Its totient is φ = 1290836901888.

The previous prime is 6367345356959. The next prime is 6367345356997. The reversal of 6367345356960 is 696535437636.

It is a happy number.

6367345356960 is a `hidden beast` number, since 6 + 3 + 6 + 7 + 3 + 4 + 5 + 3 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 628372054 + ... + 628382186.

It is an arithmetic number, because the mean of its divisors is an integer number (24152260860).

Almost surely, 2^{6367345356960} is an apocalyptic number.

6367345356960 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 6367345356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911702255360).

6367345356960 is an abundant number, since it is smaller than the sum of its proper divisors (21456059153760).

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

6367345356960 is a wasteful number, since it uses less digits than its factorization.

6367345356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 63.

The spelling of 6367345356960 in words is "six trillion, three hundred sixty-seven billion, three hundred forty-five million, three hundred fifty-six thousand, nine hundred sixty".