768624211104 has 96 divisors (see below), whose sum is σ = 2041161425856. Its totient is φ = 253229875200.

The previous prime is 768624211081. The next prime is 768624211129. The reversal of 768624211104 is 401112426867.

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

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, 5525899 + ... + 5663285.

It is an arithmetic number, because the mean of its divisors is an integer number (21262098186).

Almost surely, 2^768624211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768624211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020580712928).

768624211104 is an abundant number, since it is smaller than the sum of its proper divisors (1272537214752).

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

768624211104 is a wasteful number, since it uses less digits than its factorization.

768624211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138078 (or 138070 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 768624211104 in words is "seven hundred sixty-eight billion, six hundred twenty-four million, two hundred eleven thousand, one hundred four".