4607561567840 has 192 divisors, whose sum is σ = 13711277680128. Its totient is φ = 1421317324800.

The previous prime is 4607561567839. The next prime is 4607561567849. The reversal of 4607561567840 is 487651657064.

It is a self number, because there is not a number n which added to its sum of digits gives 4607561567840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4607561567849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732746 + ... + 3122825.

It is an arithmetic number, because the mean of its divisors is an integer number (71412904584).

Almost surely, 2^{4607561567840} is an apocalyptic number.

4607561567840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4607561567840 is an abundant number, since it is smaller than the sum of its proper divisors (9103716112288).

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

4607561567840 is a wasteful number, since it uses less digits than its factorization.

4607561567840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855701 (or 3855693 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 4607561567840 in words is "four trillion, six hundred seven billion, five hundred sixty-one million, five hundred sixty-seven thousand, eight hundred forty".