4823976960 has 528 divisors, whose sum is σ = 18884017152. Its totient is φ = 1128038400.

The previous prime is 4823976959. The next prime is 4823976961. The reversal of 4823976960 is 696793284.

It is a happy number.

4823976960 is a `hidden beast` number, since 482 + 3 + 9 + 76 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4823976959) and next prime (4823976961).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×4823976960² = 46541507421221683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4823976897 and 4823976906.

It is not an unprimeable number, because it can be changed into a prime (4823976961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713127 + ... + 15713433.

It is an arithmetic number, because the mean of its divisors is an integer number (35765184).

Almost surely, 2^4823976960 is an apocalyptic number.

4823976960 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 4823976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442008576).

4823976960 is an abundant number, since it is smaller than the sum of its proper divisors (14060040192).

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

4823976960 is a wasteful number, since it uses less digits than its factorization.

4823976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4823976960 is about 69454.8555538056. The cubic root of 4823976960 is about 1689.6694100273.

The spelling of 4823976960 in words is "four billion, eight hundred twenty-three million, nine hundred seventy-six thousand, nine hundred sixty".