869083436340 has 360 divisors, whose sum is σ = 3173404161312. Its totient is φ = 198526204800.

The previous prime is 869083436339. The next prime is 869083436371. The reversal of 869083436340 is 43634380968.

869083436340 is a `hidden beast` number, since 8 + 6 + 90 + 83 + 436 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 225675415 + ... + 225679265.

Almost surely, 2^869083436340 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 869083436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586702080656).

869083436340 is an abundant number, since it is smaller than the sum of its proper divisors (2304320724972).

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

869083436340 is a wasteful number, since it uses less digits than its factorization.

869083436340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 869083436340 in words is "eight hundred sixty-nine billion, eighty-three million, four hundred thirty-six thousand, three hundred forty".