896353676400 has 480 divisors, whose sum is σ = 3559416071680. Its totient is φ = 187757015040.

The previous prime is 896353676363. The next prime is 896353676419. The reversal of 896353676400 is 4676353698.

896353676400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15149274 + ... + 15208326.

Almost surely, 2^896353676400 is an apocalyptic number.

896353676400 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 896353676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779708035840).

896353676400 is an abundant number, since it is smaller than the sum of its proper divisors (2663062395280).

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

896353676400 is a wasteful number, since it uses less digits than its factorization.

896353676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59233 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 896353676400 in words is "eight hundred ninety-six billion, three hundred fifty-three million, six hundred seventy-six thousand, four hundred".