4830976465920 has 528 divisors, whose sum is σ = 19054954294272. Its totient is φ = 1120223723520.

The previous prime is 4830976465879. The next prime is 4830976465949. The reversal of 4830976465920 is 295646790384.

4830976465920 is a `hidden beast` number, since 4 + 8 + 30 + 9 + 7 + 6 + 4 + 6 + 592 + 0 = 666.

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

It is a super-3 number, since 3×4830976465920³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11451049 + ... + 11865431.

Almost surely, 2^{4830976465920} is an apocalyptic number.

4830976465920 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 4830976465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9527477147136).

4830976465920 is an abundant number, since it is smaller than the sum of its proper divisors (14223977828352).

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

4830976465920 is a wasteful number, since it uses less digits than its factorization.

4830976465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414448 (or 414427 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4830976465920 in words is "four trillion, eight hundred thirty billion, nine hundred seventy-six million, four hundred sixty-five thousand, nine hundred twenty".