4681799216640 has 1920 divisors, whose sum is σ = 22052620541952. Its totient is φ = 889124290560.

The previous prime is 4681799216639. The next prime is 4681799216669. The reversal of 4681799216640 is 466129971864.

4681799216640 is a `hidden beast` number, since 468 + 1 + 7 + 9 + 9 + 2 + 166 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 819783385 + ... + 819789095.

Almost surely, 2^{4681799216640} is an apocalyptic number.

4681799216640 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 4681799216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026310270976).

4681799216640 is an abundant number, since it is smaller than the sum of its proper divisors (17370821325312).

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

4681799216640 is a wasteful number, since it uses less digits than its factorization.

4681799216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4681799216640 in words is "four trillion, six hundred eighty-one billion, seven hundred ninety-nine million, two hundred sixteen thousand, six hundred forty".