4870686402432 has 192 divisors, whose sum is σ = 14200016463360. Its totient is φ = 1602277585920.

The previous prime is 4870686402431. The next prime is 4870686402473. The reversal of 4870686402432 is 2342046860784.

4870686402432 is a `hidden beast` number, since 48 + 70 + 68 + 6 + 40 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4870686402431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90521457 + ... + 90575247.

It is an arithmetic number, because the mean of its divisors is an integer number (73958419080).

Almost surely, 2^{4870686402432} 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 4870686402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100008231680).

4870686402432 is an abundant number, since it is smaller than the sum of its proper divisors (9329330060928).

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

4870686402432 is a wasteful number, since it uses less digits than its factorization.

4870686402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54841 (or 54826 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 4870686402432 in words is "four trillion, eight hundred seventy billion, six hundred eighty-six million, four hundred two thousand, four hundred thirty-two".