321748414686720 has 960 divisors, whose sum is σ = 1330145693173440. Its totient is φ = 73505084276736.

The previous prime is 321748414686709. The next prime is 321748414686749. The reversal of 321748414686720 is 27686414847123.

It is a happy number.

321748414686720 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 484 + 1 + 4 + 6 + 86 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6953241504 + ... + 6953287776.

It is an arithmetic number, because the mean of its divisors is an integer number (1385568430389).

Almost surely, 2^{321748414686720} is an apocalyptic number.

321748414686720 is a gapful number since it is divisible by the number (30) 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 321748414686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665072846586720).

321748414686720 is an abundant number, since it is smaller than the sum of its proper divisors (1008397278486720).

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

321748414686720 is a wasteful number, since it uses less digits than its factorization.

321748414686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48372 (or 48343 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 321748414686720 in words is "three hundred twenty-one trillion, seven hundred forty-eight billion, four hundred fourteen million, six hundred eighty-six thousand, seven hundred twenty".