896336340480 has 640 divisors, whose sum is σ = 3655176053760. Its totient is φ = 203949342720.

The previous prime is 896336340379. The next prime is 896336340503. The reversal of 896336340480 is 84043633698.

896336340480 is a `hidden beast` number, since 8 + 9 + 63 + 3 + 63 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109827600 + ... + 109835760.

It is an arithmetic number, because the mean of its divisors is an integer number (5711212584).

Almost surely, 2^896336340480 is an apocalyptic number.

896336340480 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 896336340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827588026880).

896336340480 is an abundant number, since it is smaller than the sum of its proper divisors (2758839713280).

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

896336340480 is a wasteful number, since it uses less digits than its factorization.

896336340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 896336340480 in words is "eight hundred ninety-six billion, three hundred thirty-six million, three hundred forty thousand, four hundred eighty".