897102768960 has 448 divisors, whose sum is σ = 3283610400000. Its totient is φ = 230293905408.

The previous prime is 897102768953. The next prime is 897102769019. The reversal of 897102768960 is 69867201798.

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 63 ways as a sum of consecutive naturals, for example, 87440311 + ... + 87450569.

It is an arithmetic number, because the mean of its divisors is an integer number (7329487500).

Almost surely, 2^897102768960 is an apocalyptic number.

897102768960 is a gapful number since it is divisible by the number (80) 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 897102768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641805200000).

897102768960 is an abundant number, since it is smaller than the sum of its proper divisors (2386507631040).

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

897102768960 is a wasteful number, since it uses less digits than its factorization.

897102768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 897102768960 in words is "eight hundred ninety-seven billion, one hundred two million, seven hundred sixty-eight thousand, nine hundred sixty".