4768838249760 has 192 divisors, whose sum is σ = 17974852076160. Its totient is φ = 1173867863040.

The previous prime is 4768838249723. The next prime is 4768838249803. The reversal of 4768838249760 is 679428388674.

4768838249760 is a `hidden beast` number, since 4 + 76 + 8 + 8 + 3 + 8 + 2 + 497 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42401446 + ... + 42513765.

It is an arithmetic number, because the mean of its divisors is an integer number (93619021230).

Almost surely, 2^{4768838249760} is an apocalyptic number.

4768838249760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768838249760 is an abundant number, since it is smaller than the sum of its proper divisors (13206013826400).

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

4768838249760 is a wasteful number, since it uses less digits than its factorization.

4768838249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84915248 (or 84915234 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 4768838249760 in words is "four trillion, seven hundred sixty-eight billion, eight hundred thirty-eight million, two hundred forty-nine thousand, seven hundred sixty".