4863546720 has 192 divisors, whose sum is σ = 17062073280. Its totient is φ = 1293926400.

The previous prime is 4863546707. The next prime is 4863546739. The reversal of 4863546720 is 276453684.

4863546720 is a `hidden beast` number, since 4 + 8 + 635 + 4 + 6 + 7 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2336080 + ... + 2338160.

It is an arithmetic number, because the mean of its divisors is an integer number (88864965).

Almost surely, 2^4863546720 is an apocalyptic number.

4863546720 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 4863546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531036640).

4863546720 is an abundant number, since it is smaller than the sum of its proper divisors (12198526560).

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

4863546720 is a wasteful number, since it uses less digits than its factorization.

4863546720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4863546720 is about 69739.1333470671. The cubic root of 4863546720 is about 1694.2768001011.

The spelling of 4863546720 in words is "four billion, eight hundred sixty-three million, five hundred forty-six thousand, seven hundred twenty".