616413332464 has 80 divisors (see below), whose sum is σ = 1284367366656. Its totient is φ = 285538176000.

The previous prime is 616413332461. The next prime is 616413332471. The reversal of 616413332464 is 464233314616.

It is a super-2 number, since 2×616413332464² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 616413332464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616413332461) 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 15 ways as a sum of consecutive naturals, for example, 26431369 + ... + 26454679.

Almost surely, 2^616413332464 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 616413332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642183683328).

616413332464 is an abundant number, since it is smaller than the sum of its proper divisors (667954034192).

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

616413332464 is a wasteful number, since it uses less digits than its factorization.

616413332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24854 (or 24848 counting only the distinct ones).

The product of its digits is 746496, while the sum is 43.

The spelling of 616413332464 in words is "six hundred sixteen billion, four hundred thirteen million, three hundred thirty-two thousand, four hundred sixty-four".