4832815680 has 1344 divisors, whose sum is σ = 23127736320. Its totient is φ = 895795200.

The previous prime is 4832815667. The next prime is 4832815681. The reversal of 4832815680 is 865182384.

4832815680 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4832815680² = 46712214793707724800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4832815681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 130616622 + ... + 130616658.

Almost surely, 2^4832815680 is an apocalyptic number.

4832815680 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 4832815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563868160).

4832815680 is an abundant number, since it is smaller than the sum of its proper divisors (18294920640).

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

4832815680 is a wasteful number, since it uses less digits than its factorization.

4832815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4832815680 is about 69518.4556790497. The cubic root of 4832815680 is about 1690.7007446130.

The spelling of 4832815680 in words is "four billion, eight hundred thirty-two million, eight hundred fifteen thousand, six hundred eighty".