4832086560 has 384 divisors, whose sum is σ = 18746671104. Its totient is φ = 1021870080.

The previous prime is 4832086549. The next prime is 4832086603. The reversal of 4832086560 is 656802384.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2394672 + ... + 2396688.

It is an arithmetic number, because the mean of its divisors is an integer number (48819456).

Almost surely, 2^4832086560 is an apocalyptic number.

4832086560 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 4832086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373335552).

4832086560 is an abundant number, since it is smaller than the sum of its proper divisors (13914584544).

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

4832086560 is a wasteful number, since it uses less digits than its factorization.

4832086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4832086560 is about 69513.2114061780. The cubic root of 4832086560 is about 1690.6157158012.

The spelling of 4832086560 in words is "four billion, eight hundred thirty-two million, eighty-six thousand, five hundred sixty".