616634530989120 has 1120 divisors, whose sum is σ = 2676928606894080. Its totient is φ = 131694992916480.

The previous prime is 616634530989119. The next prime is 616634530989137. The reversal of 616634530989120 is 21989035436616.

616634530989120 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 3 + 4 + 530 + 9 + 8 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 161224372 + ... + 165004748.

It is an arithmetic number, because the mean of its divisors is an integer number (2390114827584).

Almost surely, 2^{616634530989120} is an apocalyptic number.

616634530989120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616634530989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338464303447040).

616634530989120 is an abundant number, since it is smaller than the sum of its proper divisors (2060294075904960).

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

616634530989120 is a wasteful number, since it uses less digits than its factorization.

616634530989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780473 (or 3780454 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 616634530989120 in words is "six hundred sixteen trillion, six hundred thirty-four billion, five hundred thirty million, nine hundred eighty-nine thousand, one hundred twenty".