768373003104 has 384 divisors, whose sum is σ = 2377589760000. Its totient is φ = 217178486784.

The previous prime is 768373003093. The next prime is 768373003109. The reversal of 768373003104 is 401300373867.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768373003109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1975251742 + ... + 1975252130.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640000).

Almost surely, 2^768373003104 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 768373003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880000).

768373003104 is an abundant number, since it is smaller than the sum of its proper divisors (1609216756896).

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

768373003104 is a wasteful number, since it uses less digits than its factorization.

768373003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 768373003104 in words is "seven hundred sixty-eight billion, three hundred seventy-three million, three thousand, one hundred four".