616006985664 has 168 divisors, whose sum is σ = 1901241694080. Its totient is φ = 175510777344.

The previous prime is 616006985647. The next prime is 616006985669. The reversal of 616006985664 is 466589600616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616006985669) 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 23 ways as a sum of consecutive naturals, for example, 3286279 + ... + 3468665.

Almost surely, 2^616006985664 is an apocalyptic number.

616006985664 is a gapful number since it is divisible by the number (64) 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 616006985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950620847040).

616006985664 is an abundant number, since it is smaller than the sum of its proper divisors (1285234708416).

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

616006985664 is a wasteful number, since it uses less digits than its factorization.

616006985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182775 (or 182758 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 616006985664 in words is "six hundred sixteen billion, six million, nine hundred eighty-five thousand, six hundred sixty-four".