768313671424 has 144 divisors (see below), whose sum is σ = 1696547405952. Its totient is φ = 345043206144.

The previous prime is 768313671383. The next prime is 768313671449. The reversal of 768313671424 is 424176313867.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27045772 + ... + 27074164.

It is an arithmetic number, because the mean of its divisors is an integer number (11781579208).

Almost surely, 2^768313671424 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 768313671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848273702976).

768313671424 is an abundant number, since it is smaller than the sum of its proper divisors (928233734528).

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

768313671424 is a wasteful number, since it uses less digits than its factorization.

768313671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28642 (or 28628 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 768313671424 in words is "seven hundred sixty-eight billion, three hundred thirteen million, six hundred seventy-one thousand, four hundred twenty-four".