864763478016 has 256 divisors, whose sum is σ = 2461934995200. Its totient is φ = 269195673600.

The previous prime is 864763477979. The next prime is 864763478017. The reversal of 864763478016 is 610874367468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864763478017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132608836 + ... + 132615356.

It is an arithmetic number, because the mean of its divisors is an integer number (9616933575).

Almost surely, 2^864763478016 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 864763478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230967497600).

864763478016 is an abundant number, since it is smaller than the sum of its proper divisors (1597171517184).

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

864763478016 is an equidigital number, since it uses as much as digits as its factorization.

864763478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 864763478016 in words is "eight hundred sixty-four billion, seven hundred sixty-three million, four hundred seventy-eight thousand, sixteen".