916485403680 has 2304 divisors, whose sum is σ = 4289485455360. Its totient is φ = 177417216000.

The previous prime is 916485403657. The next prime is 916485403681. The reversal of 916485403680 is 86304584619.

916485403680 is a `hidden beast` number, since 9 + 1 + 64 + 8 + 540 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (916485403681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15024350850 + ... + 15024350910.

It is an arithmetic number, because the mean of its divisors is an integer number (1861755840).

Almost surely, 2^916485403680 is an apocalyptic number.

916485403680 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 916485403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144742727680).

916485403680 is an abundant number, since it is smaller than the sum of its proper divisors (3373000051680).

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

916485403680 is a wasteful number, since it uses less digits than its factorization.

916485403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 916485403680 in words is "nine hundred sixteen billion, four hundred eighty-five million, four hundred three thousand, six hundred eighty".