863396928000 has 640 divisors, whose sum is σ = 3242215342080. Its totient is φ = 226437120000.

The previous prime is 863396927977. The next prime is 863396928071. The reversal of 863396928000 is 829693368.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 105403905 + ... + 105412095.

It is an arithmetic number, because the mean of its divisors is an integer number (5065961472).

Almost surely, 2^863396928000 is an apocalyptic number.

863396928000 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 863396928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621107671040).

863396928000 is an abundant number, since it is smaller than the sum of its proper divisors (2378818414080).

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

863396928000 is an equidigital number, since it uses as much as digits as its factorization.

863396928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 863396928000 in words is "eight hundred sixty-three billion, three hundred ninety-six million, nine hundred twenty-eight thousand".