616306327680 has 256 divisors, whose sum is σ = 2053531238400. Its totient is φ = 157032345600.

The previous prime is 616306327673. The next prime is 616306327697. The reversal of 616306327680 is 86723603616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4636545 + ... + 4767615.

It is an arithmetic number, because the mean of its divisors is an integer number (8021606400).

Almost surely, 2^616306327680 is an apocalyptic number.

616306327680 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 616306327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026765619200).

616306327680 is an abundant number, since it is smaller than the sum of its proper divisors (1437224910720).

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

616306327680 is a wasteful number, since it uses less digits than its factorization.

616306327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131203 (or 131191 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 616306327680 in words is "six hundred sixteen billion, three hundred six million, three hundred twenty-seven thousand, six hundred eighty".