8257679471340 has 480 divisors, whose sum is σ = 29061669880320. Its totient is φ = 1949026406400.

The previous prime is 8257679471329. The next prime is 8257679471443. The reversal of 8257679471340 is 431749767528.

8257679471340 is a `hidden beast` number, since 8 + 2 + 57 + 6 + 79 + 471 + 3 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71103720 + ... + 71219760.

It is an arithmetic number, because the mean of its divisors is an integer number (60545145584).

It is a 1-persistent number, because it is pandigital, but 2⋅8257679471340 = 16515358942680 is not.

Almost surely, 2^{8257679471340} 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 8257679471340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530834940160).

8257679471340 is an abundant number, since it is smaller than the sum of its proper divisors (20803990408980).

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

8257679471340 is a wasteful number, since it uses less digits than its factorization.

8257679471340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116215 (or 116204 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 8257679471340 in words is "eight trillion, two hundred fifty-seven billion, six hundred seventy-nine million, four hundred seventy-one thousand, three hundred forty".