4616887714560 has 3456 divisors, whose sum is σ = 20570554368000. Its totient is φ = 978208358400.

The previous prime is 4616887714513. The next prime is 4616887714561. The reversal of 4616887714560 is 654177886164.

4616887714560 is a `hidden beast` number, since 4 + 6 + 1 + 68 + 8 + 7 + 7 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is not an unprimeable number, because it can be changed into a prime (4616887714561) 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, 58441616601 + ... + 58441616679.

It is an arithmetic number, because the mean of its divisors is an integer number (5952128000).

Almost surely, 2^{4616887714560} is an apocalyptic number.

4616887714560 is a gapful number since it is divisible by the number (40) 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 4616887714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285277184000).

4616887714560 is an abundant number, since it is smaller than the sum of its proper divisors (15953666653440).

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

4616887714560 is a wasteful number, since it uses less digits than its factorization.

4616887714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4616887714560 in words is "four trillion, six hundred sixteen billion, eight hundred eighty-seven million, seven hundred fourteen thousand, five hundred sixty".