4765193338880 has 320 divisors, whose sum is σ = 12505993315200. Its totient is φ = 1732364992512.

The previous prime is 4765193338879. The next prime is 4765193338907. The reversal of 4765193338880 is 888333915674.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2283273197 + ... + 2283275283.

It is an arithmetic number, because the mean of its divisors is an integer number (39081229110).

Almost surely, 2^{4765193338880} is an apocalyptic number.

4765193338880 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 4765193338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252996657600).

4765193338880 is an abundant number, since it is smaller than the sum of its proper divisors (7740799976320).

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

4765193338880 is an frugal number, since it uses more digits than its factorization.

4765193338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 4765193338880 in words is "four trillion, seven hundred sixty-five billion, one hundred ninety-three million, three hundred thirty-eight thousand, eight hundred eighty".