4768381637856 has 96 divisors (see below), whose sum is σ = 14639768236800. Its totient is φ = 1505804722560.

The previous prime is 4768381637813. The next prime is 4768381637897. The reversal of 4768381637856 is 6587361838674.

4768381637856 is a `hidden beast` number, since 4 + 76 + 8 + 381 + 63 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145219380 + ... + 145252211.

It is an arithmetic number, because the mean of its divisors is an integer number (152497585800).

Almost surely, 2^{4768381637856} is an apocalyptic number.

It is an amenable number.

4768381637856 is an abundant number, since it is smaller than the sum of its proper divisors (9871386598944).

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

4768381637856 is a wasteful number, since it uses less digits than its factorization.

4768381637856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290471629 (or 290471615 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 4768381637856 in words is "four trillion, seven hundred sixty-eight billion, three hundred eighty-one million, six hundred thirty-seven thousand, eight hundred fifty-six".