4668836912640 has 720 divisors, whose sum is σ = 17482816246896. Its totient is φ = 1150643404800.

The previous prime is 4668836912627. The next prime is 4668836912669. The reversal of 4668836912640 is 462196388664.

4668836912640 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 8 + 369 + 1 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 341008195 + ... + 341021885.

Almost surely, 2^{4668836912640} is an apocalyptic number.

4668836912640 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 4668836912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741408123448).

4668836912640 is an abundant number, since it is smaller than the sum of its proper divisors (12813979334256).

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

4668836912640 is a wasteful number, since it uses less digits than its factorization.

4668836912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13799 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 4668836912640 in words is "four trillion, six hundred sixty-eight billion, eight hundred thirty-six million, nine hundred twelve thousand, six hundred forty".