616128768 has 180 divisors, whose sum is σ = 1882630288. Its totient is φ = 200309760.

The previous prime is 616128767. The next prime is 616128787. The reversal of 616128768 is 867821616.

It is a happy number.

616128768 is a `hidden beast` number, since 616 + 1 + 28 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×616128768² = 759229317514395648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (616128767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 891303 + ... + 891993.

Almost surely, 2^616128768 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 616128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941315144).

616128768 is an abundant number, since it is smaller than the sum of its proper divisors (1266501520).

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

616128768 is an equidigital number, since it uses as much as digits as its factorization.

616128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 739 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 616128768 is about 24821.9412617144. The cubic root of 616128768 is about 850.9234568132.

The spelling of 616128768 in words is "six hundred sixteen million, one hundred twenty-eight thousand, seven hundred sixty-eight".