863680270336 has 117 divisors (see below), whose sum is σ = 1871902999071. Its totient is φ = 398264795136.

The previous prime is 863680270307. The next prime is 863680270337. The reversal of 863680270336 is 633072086368.

The square root of 863680270336 is 929344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 582865063936 + 280815206400 = 763456^2 + 529920^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863680270337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 773213650 + ... + 773214766.

Almost surely, 2^863680270336 is an apocalyptic number.

863680270336 is the 929344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863680270336

863680270336 is an abundant number, since it is smaller than the sum of its proper divisors (1008222728735).

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

863680270336 is an frugal number, since it uses more digits than its factorization.

863680270336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 863680270336 in words is "eight hundred sixty-three billion, six hundred eighty million, two hundred seventy thousand, three hundred thirty-six".