4687456224 has 96 divisors (see below), whose sum is σ = 13458856320. Its totient is φ = 1416665600.

The previous prime is 4687456219. The next prime is 4687456243. The reversal of 4687456224 is 4226547864.

It is a Cunningham number, because it is equal to 68465²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405079 + ... + 416489.

It is an arithmetic number, because the mean of its divisors is an integer number (140196420).

Almost surely, 2^4687456224 is an apocalyptic number.

4687456224 is a gapful number since it is divisible by the number (44) 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 4687456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729428160).

4687456224 is an abundant number, since it is smaller than the sum of its proper divisors (8771400096).

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

4687456224 is a wasteful number, since it uses less digits than its factorization.

4687456224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11816 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 4687456224 is about 68464.9999926970. Note that the first 5 decimals coincide. The cubic root of 4687456224 is about 1673.5771653942.

The spelling of 4687456224 in words is "four billion, six hundred eighty-seven million, four hundred fifty-six thousand, two hundred twenty-four".