868429868832 has 384 divisors, whose sum is σ = 2721410334720. Its totient is φ = 268719897600.

The previous prime is 868429868807. The next prime is 868429868879. The reversal of 868429868832 is 238868924868.

868429868832 is a `hidden beast` number, since 8 + 68 + 429 + 8 + 68 + 83 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340425957 + ... + 340428507.

It is an arithmetic number, because the mean of its divisors is an integer number (7087006080).

Almost surely, 2^868429868832 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 868429868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360705167360).

868429868832 is an abundant number, since it is smaller than the sum of its proper divisors (1852980465888).

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

868429868832 is a wasteful number, since it uses less digits than its factorization.

868429868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3079 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 868429868832 in words is "eight hundred sixty-eight billion, four hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred thirty-two".