4610866544640 has 1008 divisors, whose sum is σ = 17404675579200. Its totient is φ = 1125214322688.

The previous prime is 4610866544611. The next prime is 4610866544657. The reversal of 4610866544640 is 464456680164.

4610866544640 is a `hidden beast` number, since 4 + 6 + 10 + 86 + 6 + 544 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×4610866544640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33171701691 + ... + 33171701829.

Almost surely, 2^{4610866544640} is an apocalyptic number.

4610866544640 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 4610866544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702337789600).

4610866544640 is an abundant number, since it is smaller than the sum of its proper divisors (12793809034560).

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

4610866544640 is an equidigital number, since it uses as much as digits as its factorization.

4610866544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4610866544640 in words is "four trillion, six hundred ten billion, eight hundred sixty-six million, five hundred forty-four thousand, six hundred forty".