616663459584000 has 4608 divisors, whose sum is σ = 2572307568230400. Its totient is φ = 145142710272000.

The previous prime is 616663459583987. The next prime is 616663459584001. The reversal of 616663459584000 is 485954366616.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×616663459584000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616663459584001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4855617791937 + ... + 4855617792063.

It is an arithmetic number, because the mean of its divisors is an integer number (558226468800).

Almost surely, 2^{616663459584000} is an apocalyptic number.

616663459584000 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 616663459584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286153784115200).

616663459584000 is an abundant number, since it is smaller than the sum of its proper divisors (1955644108646400).

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

616663459584000 is a wasteful number, since it uses less digits than its factorization.

616663459584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 616663459584000 in words is "six hundred sixteen trillion, six hundred sixty-three billion, four hundred fifty-nine million, five hundred eighty-four thousand".