872406586608704 has 112 divisors (see below), whose sum is σ = 1980910324712448. Its totient is φ = 373431870701568.

The previous prime is 872406586608703. The next prime is 872406586608709. The reversal of 872406586608704 is 407806685604278.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×872406586608704³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (872406586608703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7080183704 + ... + 7080306920.

Almost surely, 2^{872406586608704} 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 872406586608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990455162356224).

872406586608704 is an abundant number, since it is smaller than the sum of its proper divisors (1108503738103744).

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

872406586608704 is a wasteful number, since it uses less digits than its factorization.

872406586608704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142412 (or 142402 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 71.

The spelling of 872406586608704 in words is "eight hundred seventy-two trillion, four hundred six billion, five hundred eighty-six million, six hundred eight thousand, seven hundred four".