4863811680 has 288 divisors, whose sum is σ = 20428559424. Its totient is φ = 1026183168.

The previous prime is 4863811663. The next prime is 4863811739. The reversal of 4863811680 is 861183684.

It is a happy number.

4863811680 is a `hidden beast` number, since 4 + 8 + 638 + 1 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 112482 + ... + 149598.

It is an arithmetic number, because the mean of its divisors is an integer number (70932498).

Almost surely, 2^4863811680 is an apocalyptic number.

4863811680 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 4863811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214279712).

4863811680 is an abundant number, since it is smaller than the sum of its proper divisors (15564747744).

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

4863811680 is a wasteful number, since it uses less digits than its factorization.

4863811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37158 (or 37147 counting only the distinct ones).

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

The square root of 4863811680 is about 69741.0329719886. The cubic root of 4863811680 is about 1694.3075669094.

The spelling of 4863811680 in words is "four billion, eight hundred sixty-three million, eight hundred eleven thousand, six hundred eighty".