616406635032 has 256 divisors, whose sum is σ = 1661998694400. Its totient is φ = 190142077440.

The previous prime is 616406635001. The next prime is 616406635051. The reversal of 616406635032 is 230536604616.

It is a happy number.

It is a super-2 number, since 2×616406635032² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 558844993 + ... + 558846095.

It is an arithmetic number, because the mean of its divisors is an integer number (6492182400).

Almost surely, 2^616406635032 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 616406635032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830999347200).

616406635032 is an abundant number, since it is smaller than the sum of its proper divisors (1045592059368).

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

616406635032 is a wasteful number, since it uses less digits than its factorization.

616406635032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 616406635032 in words is "six hundred sixteen billion, four hundred six million, six hundred thirty-five thousand, thirty-two".