4606005606624 has 144 divisors (see below), whose sum is σ = 13870587996720. Its totient is φ = 1444836986880.

The previous prime is 4606005606611. The next prime is 4606005606673. The reversal of 4606005606624 is 4266065006064.

4606005606624 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 0 + 0 + 560 + 66 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4606005606624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41212579 + ... + 41324189.

It is an arithmetic number, because the mean of its divisors is an integer number (96323527755).

Almost surely, 2^{4606005606624} 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 4606005606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935293998360).

4606005606624 is an abundant number, since it is smaller than the sum of its proper divisors (9264582390096).

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

4606005606624 is a wasteful number, since it uses less digits than its factorization.

4606005606624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120073 (or 120062 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4606005606624 in words is "four trillion, six hundred six billion, five million, six hundred six thousand, six hundred twenty-four".