864326155680 has 576 divisors, whose sum is σ = 3487844924928. Its totient is φ = 200240087040.

The previous prime is 864326155631. The next prime is 864326155691. The reversal of 864326155680 is 86551623468.

864326155680 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 2 + 6 + 1 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8542185 + ... + 8642775.

It is an arithmetic number, because the mean of its divisors is an integer number (6055286328).

Almost surely, 2^864326155680 is an apocalyptic number.

864326155680 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 864326155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743922462464).

864326155680 is an abundant number, since it is smaller than the sum of its proper divisors (2623518769248).

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

864326155680 is a wasteful number, since it uses less digits than its factorization.

864326155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100651 (or 100631 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 864326155680 in words is "eight hundred sixty-four billion, three hundred twenty-six million, one hundred fifty-five thousand, six hundred eighty".