4475233566720 has 2448 divisors, whose sum is σ = 19841188243968. Its totient is φ = 963158999040.

The previous prime is 4475233566703. The next prime is 4475233566743. The reversal of 4475233566720 is 276653325744.

4475233566720 is a `hidden beast` number, since 4 + 4 + 7 + 5 + 2 + 3 + 3 + 566 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120952258542 + ... + 120952258578.

Almost surely, 2^{4475233566720} is an apocalyptic number.

4475233566720 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 4475233566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920594121984).

4475233566720 is an abundant number, since it is smaller than the sum of its proper divisors (15365954677248).

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

4475233566720 is an frugal number, since it uses more digits than its factorization.

4475233566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 4475233566720 in words is "four trillion, four hundred seventy-five billion, two hundred thirty-three million, five hundred sixty-six thousand, seven hundred twenty".