4831656480 has 576 divisors, whose sum is σ = 20064215808. Its totient is φ = 1074954240.

The previous prime is 4831656461. The next prime is 4831656491. The reversal of 4831656480 is 846561384.

4831656480 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 6 + 564 + 80 = 666.

It is a super-3 number, since 3×4831656480³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11158344 + ... + 11158776.

It is an arithmetic number, because the mean of its divisors is an integer number (34833708).

Almost surely, 2^4831656480 is an apocalyptic number.

4831656480 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 4831656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032107904).

4831656480 is an abundant number, since it is smaller than the sum of its proper divisors (15232559328).

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

4831656480 is a wasteful number, since it uses less digits than its factorization.

4831656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4831656480 is about 69510.1178246736. The cubic root of 4831656480 is about 1690.5655565466.

The spelling of 4831656480 in words is "four billion, eight hundred thirty-one million, six hundred fifty-six thousand, four hundred eighty".