4716878837760 has 576 divisors, whose sum is σ = 16729591919040. Its totient is φ = 1228674170880.

The previous prime is 4716878837743. The next prime is 4716878837767. The reversal of 4716878837760 is 677388786174.

4716878837760 is a `hidden beast` number, since 4 + 71 + 68 + 78 + 8 + 377 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716878837767) 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 47 ways as a sum of consecutive naturals, for example, 1177157677 + ... + 1177161683.

It is an arithmetic number, because the mean of its divisors is an integer number (29044430415).

Almost surely, 2^{4716878837760} is an apocalyptic number.

4716878837760 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 4716878837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364795959520).

4716878837760 is an abundant number, since it is smaller than the sum of its proper divisors (12012713081280).

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

4716878837760 is a wasteful number, since it uses less digits than its factorization.

4716878837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 4716878837760 in words is "four trillion, seven hundred sixteen billion, eight hundred seventy-eight million, eight hundred thirty-seven thousand, seven hundred sixty".