616932966384 has 240 divisors, whose sum is σ = 2032487801344. Its totient is φ = 171025344000.

The previous prime is 616932966379. The next prime is 616932966457. The reversal of 616932966384 is 483669239616.

It is a happy number.

616932966384 is a `hidden beast` number, since 6 + 169 + 3 + 2 + 96 + 6 + 384 = 666.

It is a super-3 number, since 3×616932966384³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6497814 + ... + 6592074.

Almost surely, 2^616932966384 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 616932966384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016243900672).

616932966384 is an abundant number, since it is smaller than the sum of its proper divisors (1415554834960).

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

616932966384 is a wasteful number, since it uses less digits than its factorization.

616932966384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94476 (or 94467 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 616932966384 in words is "six hundred sixteen billion, nine hundred thirty-two million, nine hundred sixty-six thousand, three hundred eighty-four".