4577368320 has 1080 divisors, whose sum is σ = 20554108344. Its totient is φ = 966131712.

The previous prime is 4577368283. The next prime is 4577368387. The reversal of 4577368320 is 238637754.

It can be written as a sum of positive squares in 4 ways, for example, as 1390991616 + 3186376704 = 37296^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365414 + ... + 86365466.

Almost surely, 2^4577368320 is an apocalyptic number.

4577368320 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 4577368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277054172).

4577368320 is an abundant number, since it is smaller than the sum of its proper divisors (15976740024).

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

4577368320 is a wasteful number, since it uses less digits than its factorization.

4577368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4577368320 is about 67656.2511524249. The cubic root of 4577368320 is about 1660.3715624446.

The spelling of 4577368320 in words is "four billion, five hundred seventy-seven million, three hundred sixty-eight thousand, three hundred twenty".