8138274608640 has 960 divisors, whose sum is σ = 30376205798400. Its totient is φ = 1852082749440.

The previous prime is 8138274608567. The next prime is 8138274608797. The reversal of 8138274608640 is 468064728318.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 1995162121 + ... + 1995166199.

It is an arithmetic number, because the mean of its divisors is an integer number (31641881040).

Almost surely, 2^{8138274608640} is an apocalyptic number.

8138274608640 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 8138274608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188102899200).

8138274608640 is an abundant number, since it is smaller than the sum of its proper divisors (22237931189760).

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

8138274608640 is a wasteful number, since it uses less digits than its factorization.

8138274608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 8138274608640 in words is "eight trillion, one hundred thirty-eight billion, two hundred seventy-four million, six hundred eight thousand, six hundred forty".