89446724640 has 864 divisors, whose sum is σ = 385314012720. Its totient is φ = 18839568384.

The previous prime is 89446724639. The next prime is 89446724681. The reversal of 89446724640 is 4642764498.

89446724640 is a `hidden beast` number, since 89 + 44 + 67 + 2 + 464 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 673713936 + 88773010704 = 25956^2 + 297948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155020032 + ... + 155020608.

Almost surely, 2^89446724640 is an apocalyptic number.

89446724640 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 89446724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192657006360).

89446724640 is an abundant number, since it is smaller than the sum of its proper divisors (295867288080).

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

89446724640 is a wasteful number, since it uses less digits than its factorization.

89446724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 89446724640 in words is "eighty-nine billion, four hundred forty-six million, seven hundred twenty-four thousand, six hundred forty".