8920441757568 has 512 divisors, whose sum is σ = 27020806225920. Its totient is φ = 2582988595200.

The previous prime is 8920441757551. The next prime is 8920441757611. The reversal of 8920441757568 is 8657571440298.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8920441757499 and 8920441757508.

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, 5974843030 + ... + 5974844522.

It is an arithmetic number, because the mean of its divisors is an integer number (52775012160).

Almost surely, 2^{8920441757568} is an apocalyptic number.

8920441757568 is a gapful number since it is divisible by the number (88) 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 8920441757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510403112960).

8920441757568 is an abundant number, since it is smaller than the sum of its proper divisors (18100364468352).

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

8920441757568 is a wasteful number, since it uses less digits than its factorization.

8920441757568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 8920441757568 in words is "eight trillion, nine hundred twenty billion, four hundred forty-one million, seven hundred fifty-seven thousand, five hundred sixty-eight".