4677304320 has 432 divisors, whose sum is σ = 17748129672. Its totient is φ = 1132462080.

The previous prime is 4677304319. The next prime is 4677304337. The reversal of 4677304320 is 234037764.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1534132224 + 3143172096 = 39168^2 + 56064^2 .

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

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, 76677090 + ... + 76677150.

Almost surely, 2^4677304320 is an apocalyptic number.

4677304320 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 4677304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874064836).

4677304320 is an abundant number, since it is smaller than the sum of its proper divisors (13070825352).

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

4677304320 is an equidigital number, since it uses as much as digits as its factorization.

4677304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4677304320 is about 68390.8204366639. The cubic root of 4677304320 is about 1672.3681034424.

The spelling of 4677304320 in words is "four billion, six hundred seventy-seven million, three hundred four thousand, three hundred twenty".