6391332864000 has 1760 divisors, whose sum is σ = 27868425526656. Its totient is φ = 1426902220800.

The previous prime is 6391332863963. The next prime is 6391332864011. The reversal of 6391332864000 is 4682331936.

6391332864000 is a `hidden beast` number, since 6 + 39 + 133 + 2 + 86 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148635647979 + ... + 148635648021.

Almost surely, 2^{6391332864000} is an apocalyptic number.

6391332864000 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 6391332864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934212763328).

6391332864000 is an abundant number, since it is smaller than the sum of its proper divisors (21477092662656).

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

6391332864000 is an frugal number, since it uses more digits than its factorization.

6391332864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6391332864000 in words is "six trillion, three hundred ninety-one billion, three hundred thirty-two million, eight hundred sixty-four thousand".