4864224960 has 1120 divisors, whose sum is σ = 22305507840. Its totient is φ = 979402752.

The previous prime is 4864224949. The next prime is 4864224961. The reversal of 4864224960 is 694224684.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×4864224960² = 47321368922974003200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4864224961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58605079 + ... + 58605161.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^4864224960 is an apocalyptic number.

4864224960 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 4864224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

4864224960 is an abundant number, since it is smaller than the sum of its proper divisors (17441282880).

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

4864224960 is a wasteful number, since it uses less digits than its factorization.

4864224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4864224960 is about 69743.9958706124. The cubic root of 4864224960 is about 1694.3555542114.

The spelling of 4864224960 in words is "four billion, eight hundred sixty-four million, two hundred twenty-four thousand, nine hundred sixty".