616772306500 has 192 divisors, whose sum is σ = 1562263073280. Its totient is φ = 208353600000.

The previous prime is 616772306429. The next prime is 616772306509. The reversal of 616772306500 is 5603277616.

616772306500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (616772306509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74584366 + ... + 74592634.

It is an arithmetic number, because the mean of its divisors is an integer number (8136786840).

Almost surely, 2^616772306500 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 616772306500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781131536640).

616772306500 is an abundant number, since it is smaller than the sum of its proper divisors (945490766780).

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

616772306500 is a wasteful number, since it uses less digits than its factorization.

616772306500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 616772306500 in words is "six hundred sixteen billion, seven hundred seventy-two million, three hundred six thousand, five hundred".