4577382720 has 336 divisors, whose sum is σ = 17298253440. Its totient is φ = 1105809408.

The previous prime is 4577382713. The next prime is 4577382767. The reversal of 4577382720 is 272837754.

4577382720 is a `hidden beast` number, since 4 + 577 + 3 + 8 + 2 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256742 + ... + 1260378.

Almost surely, 2^4577382720 is an apocalyptic number.

4577382720 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 4577382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649126720).

4577382720 is an abundant number, since it is smaller than the sum of its proper divisors (12720870720).

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

4577382720 is a wasteful number, since it uses less digits than its factorization.

4577382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4577382720 is about 67656.3575726627. The cubic root of 4577382720 is about 1660.3733035706.

The spelling of 4577382720 in words is "four billion, five hundred seventy-seven million, three hundred eighty-two thousand, seven hundred twenty".