4671327360000 has 1760 divisors, whose sum is σ = 18638109895680. Its totient is φ = 1017741312000.

The previous prime is 4671327359987. The next prime is 4671327360013. The reversal of 4671327360000 is 637231764.

It is an interprime number because it is at equal distance from previous prime (4671327359987) and next prime (4671327360013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34097279932 + ... + 34097280068.

It is an arithmetic number, because the mean of its divisors is an integer number (10589835168).

Almost surely, 2^{4671327360000} is an apocalyptic number.

4671327360000 is a gapful number since it is divisible by the number (40) 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 4671327360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319054947840).

4671327360000 is an abundant number, since it is smaller than the sum of its proper divisors (13966782535680).

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

4671327360000 is a wasteful number, since it uses less digits than its factorization.

4671327360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 4671327360000 in words is "four trillion, six hundred seventy-one billion, three hundred twenty-seven million, three hundred sixty thousand".