1616540210064 has 240 divisors, whose sum is σ = 5349729595392. Its totient is φ = 468138092544.

The previous prime is 1616540210023. The next prime is 1616540210069. The reversal of 1616540210064 is 4600120456161.

1616540210064 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 540 + 2 + 100 + 6 + 4 = 666.

It is a super-2 number, since 2×1616540210064² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1616540210069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 81424 + ... + 1799919.

Almost surely, 2^{1616540210064} 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 1616540210064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674864797696).

1616540210064 is an abundant number, since it is smaller than the sum of its proper divisors (3733189385328).

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

1616540210064 is a wasteful number, since it uses less digits than its factorization.

1616540210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881396 (or 1881378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1616540210064 in words is "one trillion, six hundred sixteen billion, five hundred forty million, two hundred ten thousand, sixty-four".