869496768 has 336 divisors, whose sum is σ = 3032556800. Its totient is φ = 246903552.

The previous prime is 869496751. The next prime is 869496809. The reversal of 869496768 is 867694968.

869496768 is a `hidden beast` number, since 86 + 9 + 496 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334255 + ... + 5334417.

Almost surely, 2^869496768 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 869496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516278400).

869496768 is an abundant number, since it is smaller than the sum of its proper divisors (2163060032).

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

869496768 is an equidigital number, since it uses as much as digits as its factorization.

869496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 869496768 is about 29487.2305922411. The cubic root of 869496768 is about 954.4561720129.

The spelling of 869496768 in words is "eight hundred sixty-nine million, four hundred ninety-six thousand, seven hundred sixty-eight".