4668886631700 has 720 divisors, whose sum is σ = 16662176302464. Its totient is φ = 1126064332800.

The previous prime is 4668886631627. The next prime is 4668886631729. The reversal of 4668886631700 is 71366888664.

4668886631700 is a `hidden beast` number, since 466 + 8 + 88 + 66 + 31 + 7 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 378255729 + ... + 378268071.

Almost surely, 2^{4668886631700} 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 4668886631700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331088151232).

4668886631700 is an abundant number, since it is smaller than the sum of its proper divisors (11993289670764).

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

4668886631700 is a wasteful number, since it uses less digits than its factorization.

4668886631700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4668886631700 in words is "four trillion, six hundred sixty-eight billion, eight hundred eighty-six million, six hundred thirty-one thousand, seven hundred".