8900397987840 has 960 divisors, whose sum is σ = 33852852633600. Its totient is φ = 2230315057152.

The previous prime is 8900397987829. The next prime is 8900397987883. The reversal of 8900397987840 is 487897930098.

8900397987840 is a `hidden beast` number, since 89 + 0 + 0 + 397 + 9 + 87 + 84 + 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 (72).

It is a congruent number.

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, 2001436497 + ... + 2001440943.

It is an arithmetic number, because the mean of its divisors is an integer number (35263388160).

Almost surely, 2^{8900397987840} is an apocalyptic number.

8900397987840 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 8900397987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926426316800).

8900397987840 is an abundant number, since it is smaller than the sum of its proper divisors (24952454645760).

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

8900397987840 is a wasteful number, since it uses less digits than its factorization.

8900397987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 8900397987840 in words is "eight trillion, nine hundred billion, three hundred ninety-seven million, nine hundred eighty-seven thousand, eight hundred forty".