4477072320 has 336 divisors, whose sum is σ = 17738555328. Its totient is φ = 1015234560.

The previous prime is 4477072319. The next prime is 4477072321. The reversal of 4477072320 is 232707744.

It is an interprime number because it is at equal distance from previous prime (4477072319) and next prime (4477072321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477072321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2761110 + ... + 2762730.

Almost surely, 2^4477072320 is an apocalyptic number.

4477072320 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 4477072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869277664).

4477072320 is an abundant number, since it is smaller than the sum of its proper divisors (13261483008).

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

4477072320 is a wasteful number, since it uses less digits than its factorization.

4477072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 4477072320 is about 66910.9282554053. The cubic root of 4477072320 is about 1648.1549403450.

The spelling of 4477072320 in words is "four billion, four hundred seventy-seven million, seventy-two thousand, three hundred twenty".