863830327680 has 512 divisors, whose sum is σ = 3113622460800. Its totient is φ = 226297774080.

The previous prime is 863830327669. The next prime is 863830327741. The reversal of 863830327680 is 86723038368.

863830327680 is a `hidden beast` number, since 8 + 63 + 8 + 303 + 276 + 8 + 0 = 666.

It is a super-3 number, since 3×863830327680³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354463422 + ... + 354465858.

Almost surely, 2^863830327680 is an apocalyptic number.

863830327680 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 863830327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556811230400).

863830327680 is an abundant number, since it is smaller than the sum of its proper divisors (2249792133120).

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

863830327680 is a wasteful number, since it uses less digits than its factorization.

863830327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 863830327680 in words is "eight hundred sixty-three billion, eight hundred thirty million, three hundred twenty-seven thousand, six hundred eighty".