4716012067200 has 960 divisors, whose sum is σ = 20427120780000. Its totient is φ = 1048797020160.

The previous prime is 4716012067187. The next prime is 4716012067241. The reversal of 4716012067200 is 27602106174.

4716012067200 is a `hidden beast` number, since 4 + 7 + 1 + 601 + 20 + 6 + 7 + 20 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67097676 + ... + 67167924.

Almost surely, 2^{4716012067200} is an apocalyptic number.

4716012067200 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 4716012067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213560390000).

4716012067200 is an abundant number, since it is smaller than the sum of its proper divisors (15711108712800).

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

4716012067200 is a wasteful number, since it uses less digits than its factorization.

4716012067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70329 (or 70303 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 4716012067200 in words is "four trillion, seven hundred sixteen billion, twelve million, sixty-seven thousand, two hundred".