4872216960 has 768 divisors, whose sum is σ = 19900036800. Its totient is φ = 1119191040.

The previous prime is 4872216901. The next prime is 4872216961. The reversal of 4872216960 is 696122784.

It is a happy number.

4872216960 is a `hidden beast` number, since 487 + 2 + 2 + 169 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872216961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118834540 + ... + 118834580.

Almost surely, 2^4872216960 is an apocalyptic number.

4872216960 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 4872216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950018400).

4872216960 is an abundant number, since it is smaller than the sum of its proper divisors (15027819840).

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

4872216960 is a wasteful number, since it uses less digits than its factorization.

4872216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4872216960 is about 69801.2676102662. The cubic root of 4872216960 is about 1695.2829976223.

The spelling of 4872216960 in words is "four billion, eight hundred seventy-two million, two hundred sixteen thousand, nine hundred sixty".