4611769344 has 660 divisors, whose sum is σ = 17405460864. Its totient is φ = 1190412288.

The previous prime is 4611769321. The next prime is 4611769361. The reversal of 4611769344 is 4439671164.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4611769344.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98122729 + ... + 98122775.

Almost surely, 2^4611769344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4611769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702730432).

4611769344 is an abundant number, since it is smaller than the sum of its proper divisors (12793691520).

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

4611769344 is a wasteful number, since it uses less digits than its factorization.

4611769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4611769344 is about 67910.0091591807. The cubic root of 4611769344 is about 1664.5206703971.

The spelling of 4611769344 in words is "four billion, six hundred eleven million, seven hundred sixty-nine thousand, three hundred forty-four".