897675609600 has 2880 divisors, whose sum is σ = 4303631692800. Its totient is φ = 181149696000.

The previous prime is 897675609587. The next prime is 897675609671. The reversal of 897675609600 is 6906576798.

897675609600 is a `hidden beast` number, since 8 + 9 + 7 + 6 + 7 + 560 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×897675609600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11362982361 + ... + 11362982439.

It is an arithmetic number, because the mean of its divisors is an integer number (1494316560).

Almost surely, 2^897675609600 is an apocalyptic number.

897675609600 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 897675609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151815846400).

897675609600 is an abundant number, since it is smaller than the sum of its proper divisors (3405956083200).

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

897675609600 is a wasteful number, since it uses less digits than its factorization.

897675609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 897675609600 in words is "eight hundred ninety-seven billion, six hundred seventy-five million, six hundred nine thousand, six hundred".