4509568919376 has 320 divisors, whose sum is σ = 13192538480640. Its totient is φ = 1474674647040.

The previous prime is 4509568919353. The next prime is 4509568919393. The reversal of 4509568919376 is 6739198659054.

4509568919376 is a `hidden beast` number, since 4 + 50 + 9 + 568 + 9 + 1 + 9 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4792315066 + ... + 4792316006.

It is an arithmetic number, because the mean of its divisors is an integer number (41226682752).

Almost surely, 2^{4509568919376} 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 4509568919376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596269240320).

4509568919376 is an abundant number, since it is smaller than the sum of its proper divisors (8682969561264).

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

4509568919376 is a wasteful number, since it uses less digits than its factorization.

4509568919376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 4509568919376 in words is "four trillion, five hundred nine billion, five hundred sixty-eight million, nine hundred nineteen thousand, three hundred seventy-six".