4287582720 has 800 divisors, whose sum is σ = 17111761920. Its totient is φ = 1021870080.

The previous prime is 4287582659. The next prime is 4287582757. The reversal of 4287582720 is 272857824.

4287582720 is a `hidden beast` number, since 42 + 8 + 7 + 582 + 7 + 20 = 666.

4287582720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138309105 + ... + 138309135.

Almost surely, 2^4287582720 is an apocalyptic number.

4287582720 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 4287582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555880960).

4287582720 is an abundant number, since it is smaller than the sum of its proper divisors (12824179200).

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

4287582720 is a wasteful number, since it uses less digits than its factorization.

4287582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4287582720 is about 65479.6359183525. The cubic root of 4287582720 is about 1624.5665393770.

The spelling of 4287582720 in words is "four billion, two hundred eighty-seven million, five hundred eighty-two thousand, seven hundred twenty".