4818631680 has 308 divisors, whose sum is σ = 17344099992. Its totient is φ = 1283973120.

The previous prime is 4818631679. The next prime is 4818631747. The reversal of 4818631680 is 861368184.

It is a happy number.

4818631680 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 631 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×4818631680² = 46438422534999244800, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 3731835 + ... + 3733125.

Almost surely, 2^4818631680 is an apocalyptic number.

4818631680 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 4818631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672049996).

4818631680 is an abundant number, since it is smaller than the sum of its proper divisors (12525468312).

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

4818631680 is an equidigital number, since it uses as much as digits as its factorization.

4818631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4818631680 is about 69416.3646411997. The cubic root of 4818631680 is about 1689.0450915339.

The spelling of 4818631680 in words is "four billion, eight hundred eighteen million, six hundred thirty-one thousand, six hundred eighty".