10768697294784 has 1344 divisors, whose sum is σ = 36492032037888. Its totient is φ = 2793817128960.

The previous prime is 10768697294779. The next prime is 10768697294801. The reversal of 10768697294784 is 48749279686701.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36753232942 + ... + 36753233234.

It is an arithmetic number, because the mean of its divisors is an integer number (27151809552).

Almost surely, 2^{10768697294784} 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 10768697294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246016018944).

10768697294784 is an abundant number, since it is smaller than the sum of its proper divisors (25723334743104).

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

10768697294784 is a wasteful number, since it uses less digits than its factorization.

10768697294784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 78.

The spelling of 10768697294784 in words is "ten trillion, seven hundred sixty-eight billion, six hundred ninety-seven million, two hundred ninety-four thousand, seven hundred eighty-four".