616426023127200 has 1728 divisors, whose sum is σ = 2534652851834880. Its totient is φ = 128803317350400.

The previous prime is 616426023127193. The next prime is 616426023127223. The reversal of 616426023127200 is 2721320624616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8150618986 + ... + 8150694614.

It is an arithmetic number, because the mean of its divisors is an integer number (1466812992960).

Almost surely, 2^{616426023127200} is an apocalyptic number.

616426023127200 is a gapful number since it is divisible by the number (60) 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 616426023127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267326425917440).

616426023127200 is an abundant number, since it is smaller than the sum of its proper divisors (1918226828707680).

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

616426023127200 is a wasteful number, since it uses less digits than its factorization.

616426023127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75831 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 616426023127200 in words is "six hundred sixteen trillion, four hundred twenty-six billion, twenty-three million, one hundred twenty-seven thousand, two hundred".