872873000064 has 512 divisors, whose sum is σ = 2993117702400. Its totient is φ = 247996809216.

The previous prime is 872873000063. The next prime is 872873000119. The reversal of 872873000064 is 460000378278.

It is a happy number.

872873000064 is a `hidden beast` number, since 8 + 7 + 287 + 300 + 0 + 0 + 64 = 666.

It is a super-4 number, since 4×872873000064⁴ (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 872872999983 and 872873000019.

It is not an unprimeable number, because it can be changed into a prime (872873000063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40469347 + ... + 40490909.

Almost surely, 2^872873000064 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 872873000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496558851200).

872873000064 is an abundant number, since it is smaller than the sum of its proper divisors (2120244702336).

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

872873000064 is a wasteful number, since it uses less digits than its factorization.

872873000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21669 (or 21651 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 872873000064 in words is "eight hundred seventy-two billion, eight hundred seventy-three million, sixty-four", and thus it is an aban number.