4507666675456 has 144 divisors (see below), whose sum is σ = 10362416762880. Its totient is φ = 1917005598720.

The previous prime is 4507666675441. The next prime is 4507666675459. The reversal of 4507666675456 is 6545766667054.

It is a junction number, because it is equal to n+sod(n) for n = 4507666675391 and 4507666675400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507666675459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151457505 + ... + 151487263.

It is an arithmetic number, because the mean of its divisors is an integer number (71961227520).

Almost surely, 2^{4507666675456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4507666675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181208381440).

4507666675456 is an abundant number, since it is smaller than the sum of its proper divisors (5854750087424).

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

4507666675456 is a wasteful number, since it uses less digits than its factorization.

4507666675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30430 (or 30416 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 67.

The spelling of 4507666675456 in words is "four trillion, five hundred seven billion, six hundred sixty-six million, six hundred seventy-five thousand, four hundred fifty-six".