896064768000 has 960 divisors, whose sum is σ = 3388710124800. Its totient is φ = 235494604800.

The previous prime is 896064767971. The next prime is 896064768037. The reversal of 896064768000 is 867460698.

896064768000 is a `hidden beast` number, since 8 + 96 + 0 + 6 + 476 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1638143727 + ... + 1638144273.

It is an arithmetic number, because the mean of its divisors is an integer number (3529906380).

Almost surely, 2^896064768000 is an apocalyptic number.

896064768000 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 896064768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694355062400).

896064768000 is an abundant number, since it is smaller than the sum of its proper divisors (2492645356800).

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

896064768000 is an equidigital number, since it uses as much as digits as its factorization.

896064768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 896064768000 in words is "eight hundred ninety-six billion, sixty-four million, seven hundred sixty-eight thousand".