4820958567360 has 2688 divisors, whose sum is σ = 20807659192320. Its totient is φ = 1011316948992.

The previous prime is 4820958567349. The next prime is 4820958567413. The reversal of 4820958567360 is 637658590284.

It is a happy number.

4820958567360 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 9 + 5 + 8 + 567 + 3 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37960303617 + ... + 37960303743.

It is an arithmetic number, because the mean of its divisors is an integer number (7740944640).

Almost surely, 2^{4820958567360} is an apocalyptic number.

4820958567360 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 4820958567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403829596160).

4820958567360 is an abundant number, since it is smaller than the sum of its proper divisors (15986700624960).

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

4820958567360 is a wasteful number, since it uses less digits than its factorization.

4820958567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 4820958567360 in words is "four trillion, eight hundred twenty billion, nine hundred fifty-eight million, five hundred sixty-seven thousand, three hundred sixty".