916416784800 has 288 divisors, whose sum is σ = 3615681706560. Its totient is φ = 222161587200.

The previous prime is 916416784799. The next prime is 916416784819. The reversal of 916416784800 is 8487614619.

916416784800 is a `hidden beast` number, since 91 + 6 + 4 + 1 + 6 + 78 + 480 + 0 = 666.

916416784800 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 (288).

It is a super-2 number, since 2×916416784800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690887 + ... + 2166086.

It is an arithmetic number, because the mean of its divisors is an integer number (12554450370).

Almost surely, 2^916416784800 is an apocalyptic number.

916416784800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

916416784800 is an abundant number, since it is smaller than the sum of its proper divisors (2699264921760).

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

916416784800 is a wasteful number, since it uses less digits than its factorization.

916416784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857013 (or 3856994 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 916416784800 in words is "nine hundred sixteen billion, four hundred sixteen million, seven hundred eighty-four thousand, eight hundred".