616737658960 has 40 divisors (see below), whose sum is σ = 1434585196296. Its totient is φ = 246579770880.

The previous prime is 616737658939. The next prime is 616737658967. The reversal of 616737658960 is 69856737616.

It can be written as a sum of positive squares in 4 ways, for example, as 33151669776 + 583585989184 = 182076^2 + 763928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×616737658960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 616737658892 and 616737658901.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629099 + ... + 1971658.

Almost surely, 2^616737658960 is an apocalyptic number.

It is an amenable number.

616737658960 is an abundant number, since it is smaller than the sum of its proper divisors (817847537336).

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

616737658960 is a wasteful number, since it uses less digits than its factorization.

616737658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602911 (or 3602905 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 616737658960 in words is "six hundred sixteen billion, seven hundred thirty-seven million, six hundred fifty-eight thousand, nine hundred sixty".