616393958976 has 448 divisors, whose sum is σ = 1941512601600. Its totient is φ = 191426457600.

The previous prime is 616393958927. The next prime is 616393958977. The reversal of 616393958976 is 679859393616.

616393958976 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 9 + 39 + 589 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (616393958977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163541220 + ... + 163544988.

Almost surely, 2^616393958976 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 616393958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970756300800).

616393958976 is an abundant number, since it is smaller than the sum of its proper divisors (1325118642624).

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

616393958976 is a wasteful number, since it uses less digits than its factorization.

616393958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3919 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 616393958976 in words is "six hundred sixteen billion, three hundred ninety-three million, nine hundred fifty-eight thousand, nine hundred seventy-six".