4578954554880 has 640 divisors, whose sum is σ = 16625367158400. Its totient is φ = 1194138796032.

The previous prime is 4578954554843. The next prime is 4578954554893. The reversal of 4578954554880 is 884554598754.

4578954554880 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 95 + 4 + 55 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 4578954554799 and 4578954554808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234550466 + ... + 1234554174.

It is an arithmetic number, because the mean of its divisors is an integer number (25977136185).

Almost surely, 2^{4578954554880} is an apocalyptic number.

4578954554880 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 4578954554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312683579200).

4578954554880 is an abundant number, since it is smaller than the sum of its proper divisors (12046412603520).

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

4578954554880 is a wasteful number, since it uses less digits than its factorization.

4578954554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 1290240000, while the sum is 72.

The spelling of 4578954554880 in words is "four trillion, five hundred seventy-eight billion, nine hundred fifty-four million, five hundred fifty-four thousand, eight hundred eighty".