4691981721600 has 2688 divisors, whose sum is σ = 20009383603200. Its totient is φ = 1070176665600.

The previous prime is 4691981721571. The next prime is 4691981721667. The reversal of 4691981721600 is 61271891964.

4691981721600 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 9 + 8 + 1 + 7 + 21 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66084249565 + ... + 66084249635.

Almost surely, 2^{4691981721600} is an apocalyptic number.

4691981721600 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 4691981721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004691801600).

4691981721600 is an abundant number, since it is smaller than the sum of its proper divisors (15317401881600).

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

4691981721600 is a wasteful number, since it uses less digits than its factorization.

4691981721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 4691981721600 in words is "four trillion, six hundred ninety-one billion, nine hundred eighty-one million, seven hundred twenty-one thousand, six hundred".