616128137680 has 240 divisors, whose sum is σ = 1660374979200. Its totient is φ = 211878374400.

The previous prime is 616128137641. The next prime is 616128137683. The reversal of 616128137680 is 86731821616.

It is a happy number.

It is a super-2 number, since 2×616128137680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616128137683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116050866 + ... + 116056174.

It is an arithmetic number, because the mean of its divisors is an integer number (6918229080).

Almost surely, 2^616128137680 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 616128137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830187489600).

616128137680 is an abundant number, since it is smaller than the sum of its proper divisors (1044246841520).

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

616128137680 is a wasteful number, since it uses less digits than its factorization.

616128137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 616128137680 in words is "six hundred sixteen billion, one hundred twenty-eight million, one hundred thirty-seven thousand, six hundred eighty".