3555465360480 has 480 divisors, whose sum is σ = 13796395683840. Its totient is φ = 855139783680.

The previous prime is 3555465360479. The next prime is 3555465360487. The reversal of 3555465360480 is 840635645553.

3555465360480 is a `hidden beast` number, since 3 + 5 + 5 + 54 + 6 + 53 + 60 + 480 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3555465360487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18006931 + ... + 18203309.

It is an arithmetic number, because the mean of its divisors is an integer number (28742491008).

Almost surely, 2^{3555465360480} is an apocalyptic number.

3555465360480 is a gapful number since it is divisible by the number (30) 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 3555465360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898197841920).

3555465360480 is an abundant number, since it is smaller than the sum of its proper divisors (10240930323360).

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

3555465360480 is a wasteful number, since it uses less digits than its factorization.

3555465360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196544 (or 196527 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 3555465360480 in words is "three trillion, five hundred fifty-five billion, four hundred sixty-five million, three hundred sixty thousand, four hundred eighty".