897668666496 has 480 divisors, whose sum is σ = 3112482574080. Its totient is φ = 256074255360.

The previous prime is 897668666449. The next prime is 897668666501. The reversal of 897668666496 is 694666866798.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 503458821 + ... + 503460603.

It is an arithmetic number, because the mean of its divisors is an integer number (6484338696).

Almost surely, 2^897668666496 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 897668666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556241287040).

897668666496 is an abundant number, since it is smaller than the sum of its proper divisors (2214813907584).

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

897668666496 is a wasteful number, since it uses less digits than its factorization.

897668666496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2786 counting only the distinct ones).

The product of its digits is 6772211712, while the sum is 81.

The spelling of 897668666496 in words is "eight hundred ninety-seven billion, six hundred sixty-eight million, six hundred sixty-six thousand, four hundred ninety-six".