8640539658240 has 768 divisors, whose sum is σ = 33563642112000. Its totient is φ = 1852509782016.

The previous prime is 8640539658239. The next prime is 8640539658271. The reversal of 8640539658240 is 428569350468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122289911 + ... + 1122297609.

It is an arithmetic number, because the mean of its divisors is an integer number (43702659000).

Almost surely, 2^{8640539658240} is an apocalyptic number.

8640539658240 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 8640539658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781821056000).

8640539658240 is an abundant number, since it is smaller than the sum of its proper divisors (24923102453760).

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

8640539658240 is a wasteful number, since it uses less digits than its factorization.

8640539658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 8640539658240 in words is "eight trillion, six hundred forty billion, five hundred thirty-nine million, six hundred fifty-eight thousand, two hundred forty".