4768760225280 has 160 divisors (see below), whose sum is σ = 15354810979200. Its totient is φ = 1262520410112.

The previous prime is 4768760225269. The next prime is 4768760225293. The reversal of 4768760225280 is 825220678674.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4768760225280.

It is a congruent number.

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, 1166050 + ... + 3301089.

It is an arithmetic number, because the mean of its divisors is an integer number (95967568620).

Almost surely, 2^{4768760225280} is an apocalyptic number.

4768760225280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768760225280 is an abundant number, since it is smaller than the sum of its proper divisors (10586050753920).

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

4768760225280 is a wasteful number, since it uses less digits than its factorization.

4768760225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467304 (or 4467288 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 4768760225280 in words is "four trillion, seven hundred sixty-eight billion, seven hundred sixty million, two hundred twenty-five thousand, two hundred eighty".