4613199360 has 640 divisors, whose sum is σ = 19091635200. Its totient is φ = 922091520.

The previous prime is 4613199317. The next prime is 4613199379. The reversal of 4613199360 is 639913164.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17149306 + ... + 17149574.

It is an arithmetic number, because the mean of its divisors is an integer number (29830680).

Almost surely, 2^4613199360 is an apocalyptic number.

4613199360 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 4613199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9545817600).

4613199360 is an abundant number, since it is smaller than the sum of its proper divisors (14478435840).

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

4613199360 is a wasteful number, since it uses less digits than its factorization.

4613199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 4613199360 is about 67920.5371003498. The cubic root of 4613199360 is about 1664.6926973011.

The spelling of 4613199360 in words is "four billion, six hundred thirteen million, one hundred ninety-nine thousand, three hundred sixty".