873832976640 has 432 divisors, whose sum is σ = 3376544004288. Its totient is φ = 215096352768.

The previous prime is 873832976587. The next prime is 873832976663. The reversal of 873832976640 is 46679238378.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 3935467 + ... + 4151573.

It is an arithmetic number, because the mean of its divisors is an integer number (7816074084).

Almost surely, 2^873832976640 is an apocalyptic number.

873832976640 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 873832976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688272002144).

873832976640 is an abundant number, since it is smaller than the sum of its proper divisors (2502711027648).

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

873832976640 is a wasteful number, since it uses less digits than its factorization.

873832976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216156 (or 216130 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 873832976640 in words is "eight hundred seventy-three billion, eight hundred thirty-two million, nine hundred seventy-six thousand, six hundred forty".