8237742495840 has 1152 divisors, whose sum is σ = 35046544845312. Its totient is φ = 1800488632320.

The previous prime is 8237742495821. The next prime is 8237742495859. The reversal of 8237742495840 is 485942477328.

It is a happy number.

8237742495840 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 7 + 4 + 2 + 49 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8237742495821) and next prime (8237742495859).

It is a super-3 number, since 3×8237742495840³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239055892 + ... + 239090348.

It is an arithmetic number, because the mean of its divisors is an integer number (30422347956).

Almost surely, 2^{8237742495840} is an apocalyptic number.

8237742495840 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 8237742495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523272422656).

8237742495840 is an abundant number, since it is smaller than the sum of its proper divisors (26808802349472).

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

8237742495840 is a wasteful number, since it uses less digits than its factorization.

8237742495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34554 (or 34534 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 8237742495840 in words is "eight trillion, two hundred thirty-seven billion, seven hundred forty-two million, four hundred ninety-five thousand, eight hundred forty".