4464773376 has 288 divisors, whose sum is σ = 14687366400. Its totient is φ = 1199407104.

The previous prime is 4464773347. The next prime is 4464773389. The reversal of 4464773376 is 6733774644.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477710 + ... + 4478706.

It is an arithmetic number, because the mean of its divisors is an integer number (50997800).

Almost surely, 2^4464773376 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 4464773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343683200).

4464773376 is an abundant number, since it is smaller than the sum of its proper divisors (10222593024).

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

4464773376 is an equidigital number, since it uses as much as digits as its factorization.

4464773376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1026 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 51.

The square root of 4464773376 is about 66818.9597045629. The cubic root of 4464773376 is about 1646.6443433917.

The spelling of 4464773376 in words is "four billion, four hundred sixty-four million, seven hundred seventy-three thousand, three hundred seventy-six".