768855048192 has 1428 divisors, whose sum is σ = 3048585631840. Its totient is φ = 189191946240.

The previous prime is 768855048187. The next prime is 768855048217. The reversal of 768855048192 is 291840558867.

768855048192 is a `hidden beast` number, since 7 + 68 + 8 + 5 + 5 + 0 + 481 + 92 = 666.

It is a super-2 number, since 2×768855048192² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 40466055159 + ... + 40466055177.

Almost surely, 2^768855048192 is an apocalyptic number.

768855048192 is a gapful number since it is divisible by the number (72) 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 768855048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524292815920).

768855048192 is an abundant number, since it is smaller than the sum of its proper divisors (2279730583648).

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

768855048192 is an frugal number, since it uses more digits than its factorization.

768855048192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 768855048192 in words is "seven hundred sixty-eight billion, eight hundred fifty-five million, forty-eight thousand, one hundred ninety-two".