8993430008640 has 2688 divisors, whose sum is σ = 42590615961600. Its totient is φ = 1744843161600.

The previous prime is 8993430008603. The next prime is 8993430008737. The reversal of 8993430008640 is 468000343998.

It is a happy number.

8993430008640 is a `hidden beast` number, since 8 + 9 + 93 + 430 + 0 + 0 + 86 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 6578953237 + ... + 6578954603.

It is an arithmetic number, because the mean of its divisors is an integer number (15844723200).

Almost surely, 2^{8993430008640} is an apocalyptic number.

8993430008640 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 8993430008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21295307980800).

8993430008640 is an abundant number, since it is smaller than the sum of its proper divisors (33597185952960).

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

8993430008640 is a wasteful number, since it uses less digits than its factorization.

8993430008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 8993430008640 in words is "eight trillion, nine hundred ninety-three billion, four hundred thirty million, eight thousand, six hundred forty".