872273364480 has 960 divisors, whose sum is σ = 3547296529920. Its totient is φ = 193980137472.

The previous prime is 872273364463. The next prime is 872273364511. The reversal of 872273364480 is 84463372278.

It is a happy number.

872273364480 is a `hidden beast` number, since 8 + 7 + 2 + 273 + 364 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 961712187 + ... + 961713093.

It is an arithmetic number, because the mean of its divisors is an integer number (3695100552).

Almost surely, 2^872273364480 is an apocalyptic number.

872273364480 is a gapful number since it is divisible by the number (80) 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 872273364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773648264960).

872273364480 is an abundant number, since it is smaller than the sum of its proper divisors (2675023165440).

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

872273364480 is a wasteful number, since it uses less digits than its factorization.

872273364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 872273364480 in words is "eight hundred seventy-two billion, two hundred seventy-three million, three hundred sixty-four thousand, four hundred eighty".