616419804800 has 96 divisors (see below), whose sum is σ = 1523280693900. Its totient is φ = 246481920000.

The previous prime is 616419804779. The next prime is 616419804809. The reversal of 616419804800 is 8408914616.

It can be written as a sum of positive squares in 6 ways, for example, as 289263260224 + 327156544576 = 537832^2 + 571976^2 .

It is not an unprimeable number, because it can be changed into a prime (616419804809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9571106 + ... + 9635294.

Almost surely, 2^616419804800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616419804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761640346950).

616419804800 is an abundant number, since it is smaller than the sum of its proper divisors (906860889100).

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

616419804800 is a wasteful number, since it uses less digits than its factorization.

616419804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67214 (or 67197 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 616419804800 in words is "six hundred sixteen billion, four hundred nineteen million, eight hundred four thousand, eight hundred".