4683200627336 has 768 divisors, whose sum is σ = 12345409843200. Its totient is φ = 1623815424000.

The previous prime is 4683200627309. The next prime is 4683200627351. The reversal of 4683200627336 is 6337260023864.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20630839655 + ... + 20630839881.

It is an arithmetic number, because the mean of its divisors is an integer number (16074752400).

Almost surely, 2^{4683200627336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4683200627336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172704921600).

4683200627336 is an abundant number, since it is smaller than the sum of its proper divisors (7662209215864).

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

4683200627336 is a wasteful number, since it uses less digits than its factorization.

4683200627336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 50.

The spelling of 4683200627336 in words is "four trillion, six hundred eighty-three billion, two hundred million, six hundred twenty-seven thousand, three hundred thirty-six".