872658094644 has 480 divisors, whose sum is σ = 2757615168000. Its totient is φ = 235381386240.

The previous prime is 872658094643. The next prime is 872658094667. The reversal of 872658094644 is 446490856278.

872658094644 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 580 + 9 + 4 + 6 + 44 = 666.

It is a super-2 number, since 2×872658094644² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872658094643) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798405762 + ... + 798406854.

It is an arithmetic number, because the mean of its divisors is an integer number (5745031600).

Almost surely, 2^872658094644 is an apocalyptic number.

872658094644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872658094644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378807584000).

872658094644 is an abundant number, since it is smaller than the sum of its proper divisors (1884957073356).

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

872658094644 is a wasteful number, since it uses less digits than its factorization.

872658094644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 872658094644 in words is "eight hundred seventy-two billion, six hundred fifty-eight million, ninety-four thousand, six hundred forty-four".