4934211643368 has 1280 divisors, whose sum is σ = 17625215139840. Its totient is φ = 1258816204800.

The previous prime is 4934211643351. The next prime is 4934211643381. The reversal of 4934211643368 is 8633461124394.

4934211643368 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 211 + 64 + 3 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16840312630 + ... + 16840312922.

It is an arithmetic number, because the mean of its divisors is an integer number (13769699328).

Almost surely, 2^{4934211643368} 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 4934211643368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812607569920).

4934211643368 is an abundant number, since it is smaller than the sum of its proper divisors (12691003496472).

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

4934211643368 is a wasteful number, since it uses less digits than its factorization.

4934211643368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 4934211643368 in words is "four trillion, nine hundred thirty-four billion, two hundred eleven million, six hundred forty-three thousand, three hundred sixty-eight".