863677707816 has 768 divisors, whose sum is σ = 3042869760000. Its totient is φ = 198717235200.

The previous prime is 863677707779. The next prime is 863677707857. The reversal of 863677707816 is 618707776368.

863677707816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306622526 + ... + 1306623186.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070000).

Almost surely, 2^863677707816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863677707816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521434880000).

863677707816 is an abundant number, since it is smaller than the sum of its proper divisors (2179192052184).

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

863677707816 is a wasteful number, since it uses less digits than its factorization.

863677707816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 66.

The spelling of 863677707816 in words is "eight hundred sixty-three billion, six hundred seventy-seven million, seven hundred seven thousand, eight hundred sixteen".