916832286720 has 960 divisors, whose sum is σ = 3953812262400. Its totient is φ = 198508216320.

The previous prime is 916832286691. The next prime is 916832286817. The reversal of 916832286720 is 27682238619.

916832286720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 110311365 + ... + 110319675.

It is an arithmetic number, because the mean of its divisors is an integer number (4118554440).

Almost surely, 2^916832286720 is an apocalyptic number.

916832286720 is a gapful number since it is divisible by the number (90) 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 916832286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976906131200).

916832286720 is an abundant number, since it is smaller than the sum of its proper divisors (3036979975680).

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

916832286720 is a wasteful number, since it uses less digits than its factorization.

916832286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 916832286720 in words is "nine hundred sixteen billion, eight hundred thirty-two million, two hundred eighty-six thousand, seven hundred twenty".