616609719648 has 192 divisors, whose sum is σ = 1965696606720. Its totient is φ = 186894107136.

The previous prime is 616609719637. The next prime is 616609719653. The reversal of 616609719648 is 846917906616.

616609719648 is a `hidden beast` number, since 6 + 1 + 6 + 609 + 7 + 19 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342861 + ... + 1162227.

It is an arithmetic number, because the mean of its divisors is an integer number (10238003160).

Almost surely, 2^616609719648 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 616609719648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982848303360).

616609719648 is an abundant number, since it is smaller than the sum of its proper divisors (1349086887072).

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

616609719648 is a wasteful number, since it uses less digits than its factorization.

616609719648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819466 (or 819452 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 616609719648 in words is "six hundred sixteen billion, six hundred nine million, seven hundred nineteen thousand, six hundred forty-eight".