867681786240 has 576 divisors, whose sum is σ = 3129132988800. Its totient is φ = 221321134080.

The previous prime is 867681786233. The next prime is 867681786253. The reversal of 867681786240 is 42687186768.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2121471156 + ... + 2121471564.

It is an arithmetic number, because the mean of its divisors is an integer number (5432522550).

Almost surely, 2^867681786240 is an apocalyptic number.

867681786240 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 867681786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564566494400).

867681786240 is an abundant number, since it is smaller than the sum of its proper divisors (2261451202560).

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

867681786240 is a wasteful number, since it uses less digits than its factorization.

867681786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 867681786240 in words is "eight hundred sixty-seven billion, six hundred eighty-one million, seven hundred eighty-six thousand, two hundred forty".