4676635433200 has 240 divisors, whose sum is σ = 11851946114400. Its totient is φ = 1770635776000.

The previous prime is 4676635433191. The next prime is 4676635433263. The reversal of 4676635433200 is 23345366764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050690975 + ... + 1050695425.

It is an arithmetic number, because the mean of its divisors is an integer number (49383108810).

Almost surely, 2^{4676635433200} is an apocalyptic number.

4676635433200 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 4676635433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925973057200).

4676635433200 is an abundant number, since it is smaller than the sum of its proper divisors (7175310681200).

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

4676635433200 is a wasteful number, since it uses less digits than its factorization.

4676635433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 49.

The spelling of 4676635433200 in words is "four trillion, six hundred seventy-six billion, six hundred thirty-five million, four hundred thirty-three thousand, two hundred".