4611199680 has 336 divisors, whose sum is σ = 17681021280. Its totient is φ = 1096187904.

The previous prime is 4611199679. The next prime is 4611199711. The reversal of 4611199680 is 869911164.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 927762 + ... + 932718.

Almost surely, 2^4611199680 is an apocalyptic number.

4611199680 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 4611199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840510640).

4611199680 is an abundant number, since it is smaller than the sum of its proper divisors (13069821600).

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

4611199680 is a wasteful number, since it uses less digits than its factorization.

4611199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 4611199680 is about 67905.8147731106. The cubic root of 4611199680 is about 1664.4521315148.

The spelling of 4611199680 in words is "four billion, six hundred eleven million, one hundred ninety-nine thousand, six hundred eighty".