4204633288968 has 288 divisors, whose sum is σ = 13995104572800. Its totient is φ = 1135218841344.

The previous prime is 4204633288927. The next prime is 4204633288979. The reversal of 4204633288968 is 8698823364024.

4204633288968 is a `hidden beast` number, since 4 + 2 + 0 + 463 + 3 + 2 + 88 + 96 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4371471 + ... + 5245857.

It is an arithmetic number, because the mean of its divisors is an integer number (48594113100).

Almost surely, 2^{4204633288968} 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 4204633288968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997552286400).

4204633288968 is an abundant number, since it is smaller than the sum of its proper divisors (9790471283832).

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

4204633288968 is a wasteful number, since it uses less digits than its factorization.

4204633288968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874489 (or 874475 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4204633288968 in words is "four trillion, two hundred four billion, six hundred thirty-three million, two hundred eighty-eight thousand, nine hundred sixty-eight".