9836137605840 has 960 divisors, whose sum is σ = 38787917414400. Its totient is φ = 2043459145728.

The previous prime is 9836137605757. The next prime is 9836137605857. The reversal of 9836137605840 is 485067316389.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5591890881 + ... + 5591892639.

It is an arithmetic number, because the mean of its divisors is an integer number (40404080640).

Almost surely, 2^{9836137605840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9836137605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393958707200).

9836137605840 is an abundant number, since it is smaller than the sum of its proper divisors (28951779808560).

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

9836137605840 is a wasteful number, since it uses less digits than its factorization.

9836137605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 9836137605840 in words is "nine trillion, eight hundred thirty-six billion, one hundred thirty-seven million, six hundred five thousand, eight hundred forty".