969792768 has 216 divisors, whose sum is σ = 3224352768. Its totient is φ = 274599936.

The previous prime is 969792767. The next prime is 969792779. The reversal of 969792768 is 867297969.

969792768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969792767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2531905 + ... + 2532287.

Almost surely, 2^969792768 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 969792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612176384).

969792768 is an abundant number, since it is smaller than the sum of its proper divisors (2254560000).

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

969792768 is a wasteful number, since it uses less digits than its factorization.

969792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 969792768 is about 31141.4959178264. The cubic root of 969792768 is about 989.8277998626.

The spelling of 969792768 in words is "nine hundred sixty-nine million, seven hundred ninety-two thousand, seven hundred sixty-eight".