8240240885760 has 2048 divisors, whose sum is σ = 33584537952000. Its totient is φ = 1926317998080.

The previous prime is 8240240885671. The next prime is 8240240885771. The reversal of 8240240885760 is 675880420428.

8240240885760 is a `hidden beast` number, since 8 + 2 + 40 + 24 + 0 + 8 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8240240885697 and 8240240885706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135085916130 + ... + 135085916190.

Almost surely, 2^{8240240885760} is an apocalyptic number.

8240240885760 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 8240240885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792268976000).

8240240885760 is an abundant number, since it is smaller than the sum of its proper divisors (25344297066240).

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

8240240885760 is an frugal number, since it uses more digits than its factorization.

8240240885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 8240240885760 in words is "eight trillion, two hundred forty billion, two hundred forty million, eight hundred eighty-five thousand, seven hundred sixty".