4770808289280 has 2304 divisors, whose sum is σ = 20201021568000. Its totient is φ = 1036273582080.

The previous prime is 4770808289239. The next prime is 4770808289297. The reversal of 4770808289280 is 829828080774.

4770808289280 is a `hidden beast` number, since 4 + 7 + 70 + 8 + 0 + 8 + 289 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×4770808289280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53604587476 + ... + 53604587564.

It is an arithmetic number, because the mean of its divisors is an integer number (8767804500).

Almost surely, 2^{4770808289280} is an apocalyptic number.

4770808289280 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 4770808289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100510784000).

4770808289280 is an abundant number, since it is smaller than the sum of its proper divisors (15430213278720).

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

4770808289280 is a wasteful number, since it uses less digits than its factorization.

4770808289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 4770808289280 in words is "four trillion, seven hundred seventy billion, eight hundred eight million, two hundred eighty-nine thousand, two hundred eighty".