616737658968 has 24 divisors (see below), whose sum is σ = 1670331159900. Its totient is φ = 205579219632.

The previous prime is 616737658967. The next prime is 616737659003. The reversal of 616737658968 is 869856737616.

616737658968 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 37 + 6 + 589 + 6 + 8 = 666.

616737658968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 8565800819 = 616737658968 / (6 + 1 + 6 + 7 + 3 + 7 + 6 + 5 + 8 + 9 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 616737658896 and 616737658905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616737658967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4282900338 + ... + 4282900481.

Almost surely, 2^616737658968 is an apocalyptic number.

It is an amenable number.

616737658968 is an abundant number, since it is smaller than the sum of its proper divisors (1053593500932).

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

616737658968 is a wasteful number, since it uses less digits than its factorization.

616737658968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565800831 (or 8565800824 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 616737658968 in words is "six hundred sixteen billion, seven hundred thirty-seven million, six hundred fifty-eight thousand, nine hundred sixty-eight".