616867898944752 has 1920 divisors, whose sum is σ = 2360452621363200. Its totient is φ = 151418914209792.

The previous prime is 616867898944741. The next prime is 616867898944799. The reversal of 616867898944752 is 257449898768616.

It is a happy number.

616867898944752 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 6 + 7 + 89 + 89 + 447 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132006823888 + ... + 132006828560.

It is an arithmetic number, because the mean of its divisors is an integer number (1229402406960).

Almost surely, 2^{616867898944752} 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 616867898944752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180226310681600).

616867898944752 is an abundant number, since it is smaller than the sum of its proper divisors (1743584722418448).

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

616867898944752 is a wasteful number, since it uses less digits than its factorization.

616867898944752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5059 counting only the distinct ones).

The product of its digits is 70230343680, while the sum is 90.

The spelling of 616867898944752 in words is "six hundred sixteen trillion, eight hundred sixty-seven billion, eight hundred ninety-eight million, nine hundred forty-four thousand, seven hundred fifty-two".