4683768545280 has 480 divisors, whose sum is σ = 16391208895488. Its totient is φ = 1132606259200.

The previous prime is 4683768545263. The next prime is 4683768545299. The reversal of 4683768545280 is 825458673864.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197586525 + ... + 1197590435.

Almost surely, 2^{4683768545280} is an apocalyptic number.

4683768545280 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 4683768545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195604447744).

4683768545280 is an abundant number, since it is smaller than the sum of its proper divisors (11707440350208).

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

4683768545280 is a wasteful number, since it uses less digits than its factorization.

4683768545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 4683768545280 in words is "four trillion, six hundred eighty-three billion, seven hundred sixty-eight million, five hundred forty-five thousand, two hundred eighty".