4684135751680 has 896 divisors, whose sum is σ = 15103404343296. Its totient is φ = 1350814924800.

The previous prime is 4684135751593. The next prime is 4684135751777. The reversal of 4684135751680 is 861575314864.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4684135751680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248743919 + ... + 2248746001.

Almost surely, 2^{4684135751680} is an apocalyptic number.

4684135751680 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 4684135751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551702171648).

4684135751680 is an abundant number, since it is smaller than the sum of its proper divisors (10419268591616).

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

4684135751680 is a wasteful number, since it uses less digits than its factorization.

4684135751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 4684135751680 in words is "four trillion, six hundred eighty-four billion, one hundred thirty-five million, seven hundred fifty-one thousand, six hundred eighty".