616909335000 has 640 divisors, whose sum is σ = 2307437383680. Its totient is φ = 134342208000.

The previous prime is 616909334989. The next prime is 616909335041. The reversal of 616909335000 is 533909616.

616909335000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616909335000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1127804727 + ... + 1127805273.

It is an arithmetic number, because the mean of its divisors is an integer number (3605370912).

Almost surely, 2^616909335000 is an apocalyptic number.

616909335000 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 616909335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153718691840).

616909335000 is an abundant number, since it is smaller than the sum of its proper divisors (1690528048680).

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

616909335000 is a wasteful number, since it uses less digits than its factorization.

616909335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 616909335000 in words is "six hundred sixteen billion, nine hundred nine million, three hundred thirty-five thousand".