4472776704 has 288 divisors, whose sum is σ = 13879101600. Its totient is φ = 1270087680.

The previous prime is 4472776699. The next prime is 4472776717. The reversal of 4472776704 is 4076772744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19531662 + ... + 19531890.

It is an arithmetic number, because the mean of its divisors is an integer number (48191325).

Almost surely, 2^4472776704 is an apocalyptic number.

4472776704 is a gapful number since it is divisible by the number (44) 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 4472776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939550800).

4472776704 is an abundant number, since it is smaller than the sum of its proper divisors (9406324896).

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

4472776704 is a wasteful number, since it uses less digits than its factorization.

4472776704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 48.

The square root of 4472776704 is about 66878.8210422403. The cubic root of 4472776704 is about 1647.6276533345.

The spelling of 4472776704 in words is "four billion, four hundred seventy-two million, seven hundred seventy-six thousand, seven hundred four".