616377987072 has 208 divisors, whose sum is σ = 1922198352000. Its totient is φ = 194645016576.

The previous prime is 616377987061. The next prime is 616377987077. The reversal of 616377987072 is 270789773616.

616377987072 is a `hidden beast` number, since 616 + 3 + 7 + 7 + 9 + 8 + 7 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (616377987077) 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, 1954579 + ... + 2247917.

Almost surely, 2^616377987072 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 616377987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961099176000).

616377987072 is an abundant number, since it is smaller than the sum of its proper divisors (1305820364928).

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

616377987072 is a wasteful number, since it uses less digits than its factorization.

616377987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293391 (or 293363 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 616377987072 in words is "six hundred sixteen billion, three hundred seventy-seven million, nine hundred eighty-seven thousand, seventy-two".