6385167360000 has 4480 divisors, whose sum is σ = 30953961561600. Its totient is φ = 1274019840000.

The previous prime is 6385167359999. The next prime is 6385167360023. The reversal of 6385167360000 is 637615836.

6385167360000 is a `hidden beast` number, since 6 + 3 + 8 + 516 + 73 + 60 + 0 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 336061439991 + ... + 336061440009.

It is an arithmetic number, because the mean of its divisors is an integer number (6909366420).

Almost surely, 2^{6385167360000} is an apocalyptic number.

6385167360000 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 6385167360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476980780800).

6385167360000 is an abundant number, since it is smaller than the sum of its proper divisors (24568794201600).

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

6385167360000 is a wasteful number, since it uses less digits than its factorization.

6385167360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 6385167360000 in words is "six trillion, three hundred eighty-five billion, one hundred sixty-seven million, three hundred sixty thousand".