4287682560 has 384 divisors, whose sum is σ = 15900917760. Its totient is φ = 966131712.

The previous prime is 4287682459. The next prime is 4287682573. The reversal of 4287682560 is 652867824.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27310002 + ... + 27310158.

It is an arithmetic number, because the mean of its divisors is an integer number (41408640).

Almost surely, 2^4287682560 is an apocalyptic number.

4287682560 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 4287682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950458880).

4287682560 is an abundant number, since it is smaller than the sum of its proper divisors (11613235200).

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

4287682560 is a wasteful number, since it uses less digits than its factorization.

4287682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4287682560 is about 65480.3982883427. The cubic root of 4287682560 is about 1624.5791490823.

The spelling of 4287682560 in words is "four billion, two hundred eighty-seven million, six hundred eighty-two thousand, five hundred sixty".