4680493955280 has 960 divisors, whose sum is σ = 20582200154880. Its totient is φ = 933883084800.

The previous prime is 4680493955231. The next prime is 4680493955309. The reversal of 4680493955280 is 825593940864.

4680493955280 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 49 + 39 + 552 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33185710 + ... + 33326450.

It is an arithmetic number, because the mean of its divisors is an integer number (21439791828).

Almost surely, 2^{4680493955280} is an apocalyptic number.

4680493955280 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 4680493955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291100077440).

4680493955280 is an abundant number, since it is smaller than the sum of its proper divisors (15901706199600).

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

4680493955280 is a wasteful number, since it uses less digits than its factorization.

4680493955280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140820 (or 140811 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4680493955280 in words is "four trillion, six hundred eighty billion, four hundred ninety-three million, nine hundred fifty-five thousand, two hundred eighty".