916775608320 has 2688 divisors, whose sum is σ = 4217031383040. Its totient is φ = 186856243200.

The previous prime is 916775608241. The next prime is 916775608349. The reversal of 916775608320 is 23806577619.

916775608320 is a `hidden beast` number, since 9 + 1 + 6 + 7 + 7 + 5 + 608 + 3 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 29573406705 + ... + 29573406735.

It is an arithmetic number, because the mean of its divisors is an integer number (1568836080).

Almost surely, 2^916775608320 is an apocalyptic number.

916775608320 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 916775608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108515691520).

916775608320 is an abundant number, since it is smaller than the sum of its proper divisors (3300255774720).

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

916775608320 is a wasteful number, since it uses less digits than its factorization.

916775608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 916775608320 in words is "nine hundred sixteen billion, seven hundred seventy-five million, six hundred eight thousand, three hundred twenty".