897916529664 has 1584 divisors, whose sum is σ = 3606602029056. Its totient is φ = 212425113600.

The previous prime is 897916529641. The next prime is 897916529677. The reversal of 897916529664 is 466925619798.

897916529664 is a `hidden beast` number, since 8 + 9 + 7 + 91 + 6 + 529 + 6 + 6 + 4 = 666.

897916529664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

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

Its product of digits (352719360) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 897916529592 and 897916529601.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28965049329 + ... + 28965049359.

Almost surely, 2^897916529664 is an apocalyptic number.

897916529664 is a gapful number since it is divisible by the number (84) 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 897916529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803301014528).

897916529664 is an abundant number, since it is smaller than the sum of its proper divisors (2708685499392).

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

897916529664 is a wasteful number, since it uses less digits than its factorization.

897916529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 897916529664 in words is "eight hundred ninety-seven billion, nine hundred sixteen million, five hundred twenty-nine thousand, six hundred sixty-four".