616566988800 has 1344 divisors, whose sum is σ = 2743976874240. Its totient is φ = 132498063360.

The previous prime is 616566988711. The next prime is 616566988801. The reversal of 616566988800 is 8889665616.

616566988800 is a `hidden beast` number, since 61 + 6 + 566 + 9 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (616566988801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658021932 + ... + 658022868.

It is an arithmetic number, because the mean of its divisors is an integer number (2041649460).

Almost surely, 2^616566988800 is an apocalyptic number.

616566988800 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 616566988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371988437120).

616566988800 is an abundant number, since it is smaller than the sum of its proper divisors (2127409885440).

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

616566988800 is a wasteful number, since it uses less digits than its factorization.

616566988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 616566988800 in words is "six hundred sixteen billion, five hundred sixty-six million, nine hundred eighty-eight thousand, eight hundred".