4497416784 has 480 divisors, whose sum is σ = 15810833280. Its totient is φ = 1234517760.

The previous prime is 4497416783. The next prime is 4497416789. The reversal of 4497416784 is 4876147944.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5419008) is a multiple of the sum of its prime factors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 4497416784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4497416783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73728114 + ... + 73728174.

It is an arithmetic number, because the mean of its divisors is an integer number (32939236).

Almost surely, 2^4497416784 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 4497416784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905416640).

4497416784 is an abundant number, since it is smaller than the sum of its proper divisors (11313416496).

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

4497416784 is an equidigital number, since it uses as much as digits as its factorization.

4497416784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4497416784 is about 67062.7824057428. The cubic root of 4497416784 is about 1650.6476531898.

The spelling of 4497416784 in words is "four billion, four hundred ninety-seven million, four hundred sixteen thousand, seven hundred eighty-four".