4775838154560 has 672 divisors, whose sum is σ = 18424494316800. Its totient is φ = 1125269176320.

The previous prime is 4775838154547. The next prime is 4775838154627. The reversal of 4775838154560 is 654518385774.

It is a happy number.

4775838154560 is a `hidden beast` number, since 4 + 7 + 7 + 5 + 8 + 3 + 81 + 545 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1546077496 + ... + 1546080584.

Almost surely, 2^{4775838154560} is an apocalyptic number.

4775838154560 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 4775838154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212247158400).

4775838154560 is an abundant number, since it is smaller than the sum of its proper divisors (13648656162240).

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

4775838154560 is a wasteful number, since it uses less digits than its factorization.

4775838154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 4775838154560 in words is "four trillion, seven hundred seventy-five billion, eight hundred thirty-eight million, one hundred fifty-four thousand, five hundred sixty".