816733760736 has 96 divisors (see below), whose sum is σ = 2179491148800. Its totient is φ = 267757830144.

The previous prime is 816733760699. The next prime is 816733760737. The reversal of 816733760736 is 637067337618.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816733760737) 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, 1547040 + ... + 2006688.

It is an arithmetic number, because the mean of its divisors is an integer number (22703032800).

Almost surely, 2^816733760736 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 816733760736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089745574400).

816733760736 is an abundant number, since it is smaller than the sum of its proper divisors (1362757388064).

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

816733760736 is a wasteful number, since it uses less digits than its factorization.

816733760736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459968 (or 459960 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 816733760736 in words is "eight hundred sixteen billion, seven hundred thirty-three million, seven hundred sixty thousand, seven hundred thirty-six".