4938876149760 has 896 divisors, whose sum is σ = 20130927114240. Its totient is φ = 1125341724672.

The previous prime is 4938876149719. The next prime is 4938876149773. The reversal of 4938876149760 is 679416788394.

4938876149760 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 8 + 76 + 1 + 497 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3073350877 + ... + 3073352483.

Almost surely, 2^{4938876149760} is an apocalyptic number.

4938876149760 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 4938876149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065463557120).

4938876149760 is an abundant number, since it is smaller than the sum of its proper divisors (15192050964480).

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

4938876149760 is a wasteful number, since it uses less digits than its factorization.

4938876149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 4938876149760 in words is "four trillion, nine hundred thirty-eight billion, eight hundred seventy-six million, one hundred forty-nine thousand, seven hundred sixty".