4765745479680 has 544 divisors, whose sum is σ = 17038642801920. Its totient is φ = 1263827681280.

The previous prime is 4765745479661. The next prime is 4765745479687. The reversal of 4765745479680 is 869745475674.

4765745479680 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 7 + 454 + 7 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4765745479599 and 4765745479608.

It is not an unprimeable number, because it can be changed into a prime (4765745479687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707539085 + ... + 1707541875.

Almost surely, 2^{4765745479680} is an apocalyptic number.

4765745479680 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 4765745479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519321400960).

4765745479680 is an abundant number, since it is smaller than the sum of its proper divisors (12272897322240).

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

4765745479680 is an equidigital number, since it uses as much as digits as its factorization.

4765745479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

It can be divided in two parts, 4765745 and 479680, that added together give a palindrome (5245425).

The spelling of 4765745479680 in words is "four trillion, seven hundred sixty-five billion, seven hundred forty-five million, four hundred seventy-nine thousand, six hundred eighty".