616120525440 has 1280 divisors, whose sum is σ = 2627483443200. Its totient is φ = 134608158720.

The previous prime is 616120525393. The next prime is 616120525453. The reversal of 616120525440 is 44525021616.

616120525440 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 205 + 2 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 616120525395 and 616120525404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1336486810 + ... + 1336487270.

It is an arithmetic number, because the mean of its divisors is an integer number (2052721440).

Almost surely, 2^616120525440 is an apocalyptic number.

616120525440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616120525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313741721600).

616120525440 is an abundant number, since it is smaller than the sum of its proper divisors (2011362917760).

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

616120525440 is a wasteful number, since it uses less digits than its factorization.

616120525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 616120525440 in words is "six hundred sixteen billion, one hundred twenty million, five hundred twenty-five thousand, four hundred forty".