4610065680 has 240 divisors, whose sum is σ = 17095530816. Its totient is φ = 1103969280.

The previous prime is 4610065679. The next prime is 4610065693. The reversal of 4610065680 is 865600164.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 653854 + ... + 660866.

Almost surely, 2^4610065680 is an apocalyptic number.

4610065680 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 4610065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547765408).

4610065680 is an abundant number, since it is smaller than the sum of its proper divisors (12485465136).

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

4610065680 is a wasteful number, since it uses less digits than its factorization.

4610065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4610065680 is about 67897.4644592860. The cubic root of 4610065680 is about 1664.3156779817.

The spelling of 4610065680 in words is "four billion, six hundred ten million, sixty-five thousand, six hundred eighty".