69828682896 has 240 divisors, whose sum is σ = 227671142400. Its totient is φ = 19567215360.

The previous prime is 69828682883. The next prime is 69828682961.

69828682896 is a `hidden beast` number, since 69 + 8 + 286 + 8 + 289 + 6 = 666.

69828682896 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14239581 + ... + 14244483.

It is an arithmetic number, because the mean of its divisors is an integer number (948629760).

Almost surely, 2^69828682896 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 69828682896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113835571200).

69828682896 is an abundant number, since it is smaller than the sum of its proper divisors (157842459504).

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

69828682896 is a wasteful number, since it uses less digits than its factorization.

69828682896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5185 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 69828682896 in words is "sixty-nine billion, eight hundred twenty-eight million, six hundred eighty-two thousand, eight hundred ninety-six".