873644688000 has 1152 divisors, whose sum is σ = 3810287520000. Its totient is φ = 187881062400.

The previous prime is 873644687989. The next prime is 873644688023. The reversal of 873644688000 is 886446378.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 291310501 + ... + 291313499.

It is an arithmetic number, because the mean of its divisors is an integer number (3307541250).

Almost surely, 2^873644688000 is an apocalyptic number.

873644688000 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 873644688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905143760000).

873644688000 is an abundant number, since it is smaller than the sum of its proper divisors (2936642832000).

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

873644688000 is a wasteful number, since it uses less digits than its factorization.

873644688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 873644688000 in words is "eight hundred seventy-three billion, six hundred forty-four million, six hundred eighty-eight thousand".