8921381726400 has 672 divisors, whose sum is σ = 34406860320000. Its totient is φ = 1995218534400.

The previous prime is 8921381726287. The next prime is 8921381726471. The reversal of 8921381726400 is 46271831298.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1749631051 + ... + 1749636149.

It is an arithmetic number, because the mean of its divisors is an integer number (51200685000).

Almost surely, 2^{8921381726400} is an apocalyptic number.

8921381726400 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 8921381726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203430160000).

8921381726400 is an abundant number, since it is smaller than the sum of its proper divisors (25485478593600).

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

8921381726400 is a wasteful number, since it uses less digits than its factorization.

8921381726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 8921381726400 in words is "eight trillion, nine hundred twenty-one billion, three hundred eighty-one million, seven hundred twenty-six thousand, four hundred".