4661161666560 has 3840 divisors, whose sum is σ = 21919113216000. Its totient is φ = 923027374080.

The previous prime is 4661161666547. The next prime is 4661161666561. The reversal of 4661161666560 is 656661611664.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4661161666497 and 4661161666506.

It is not an unprimeable number, because it can be changed into a prime (4661161666561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 99173652457 + ... + 99173652503.

It is an arithmetic number, because the mean of its divisors is an integer number (5708102400).

Almost surely, 2^{4661161666560} is an apocalyptic number.

4661161666560 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 4661161666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959556608000).

4661161666560 is an abundant number, since it is smaller than the sum of its proper divisors (17257951549440).

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

4661161666560 is a wasteful number, since it uses less digits than its factorization.

4661161666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4661161666560 in words is "four trillion, six hundred sixty-one billion, one hundred sixty-one million, six hundred sixty-six thousand, five hundred sixty".