865042004736 has 1728 divisors, whose sum is σ = 3447263232000. Its totient is φ = 213032042496.

The previous prime is 865042004713. The next prime is 865042004737. The reversal of 865042004736 is 637400240568.

865042004736 is a `hidden beast` number, since 86 + 504 + 20 + 0 + 47 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 865042004691 and 865042004700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865042004737) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6811354305 + ... + 6811354431.

It is an arithmetic number, because the mean of its divisors is an integer number (1994944000).

Almost surely, 2^865042004736 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 865042004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723631616000).

865042004736 is an abundant number, since it is smaller than the sum of its proper divisors (2582221227264).

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

865042004736 is a wasteful number, since it uses less digits than its factorization.

865042004736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 865042004736 in words is "eight hundred sixty-five billion, forty-two million, four thousand, seven hundred thirty-six".