4839688949760 has 3328 divisors, whose sum is σ = 22646476800000. Its totient is φ = 973860765696.

The previous prime is 4839688949731. The next prime is 4839688949789. The reversal of 4839688949760 is 679498869384.

4839688949760 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 68 + 8 + 9 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4839688949731) and next prime (4839688949789).

It is a self number, because there is not a number n which added to its sum of digits gives 4839688949760.

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 255 ways as a sum of consecutive naturals, for example, 61261885401 + ... + 61261885479.

Almost surely, 2^{4839688949760} is an apocalyptic number.

4839688949760 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 4839688949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323238400000).

4839688949760 is an abundant number, since it is smaller than the sum of its proper divisors (17806787850240).

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

4839688949760 is a wasteful number, since it uses less digits than its factorization.

4839688949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 4839688949760 in words is "four trillion, eight hundred thirty-nine billion, six hundred eighty-eight million, nine hundred forty-nine thousand, seven hundred sixty".