870336544896 has 1728 divisors, whose sum is σ = 3408083078400. Its totient is φ = 220096880640.

The previous prime is 870336544853. The next prime is 870336544901. The reversal of 870336544896 is 698445633078.

870336544896 is a `hidden beast` number, since 8 + 7 + 0 + 3 + 3 + 6 + 544 + 89 + 6 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7984738890 + ... + 7984738998.

It is an arithmetic number, because the mean of its divisors is an integer number (1972270300).

Almost surely, 2^870336544896 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 870336544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704041539200).

870336544896 is an abundant number, since it is smaller than the sum of its proper divisors (2537746533504).

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

870336544896 is a wasteful number, since it uses less digits than its factorization.

870336544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 870336544896 in words is "eight hundred seventy billion, three hundred thirty-six million, five hundred forty-four thousand, eight hundred ninety-six".