8238640209744 has 160 divisors (see below), whose sum is σ = 24581800164096. Its totient is φ = 2328925224960.

The previous prime is 8238640209743. The next prime is 8238640209749. The reversal of 8238640209744 is 4479020468328.

It is a super-2 number, since 2×8238640209744² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238640209743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112764394 + ... + 112837430.

Almost surely, 2^{8238640209744} is an apocalyptic number.

8238640209744 is a gapful number since it is divisible by the number (84) 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 8238640209744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290900082048).

8238640209744 is an abundant number, since it is smaller than the sum of its proper divisors (16343159954352).

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

8238640209744 is a wasteful number, since it uses less digits than its factorization.

8238640209744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76613 (or 76607 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 8238640209744 in words is "eight trillion, two hundred thirty-eight billion, six hundred forty million, two hundred nine thousand, seven hundred forty-four".