8257361547864 has 512 divisors, whose sum is σ = 25555693363200. Its totient is φ = 2188892160000.

The previous prime is 8257361547791. The next prime is 8257361547881. The reversal of 8257361547864 is 4687451637528.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8257361547795 and 8257361547804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3952780932 + ... + 3952783020.

It is an arithmetic number, because the mean of its divisors is an integer number (49913463600).

Almost surely, 2^{8257361547864} 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 8257361547864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777846681600).

8257361547864 is an abundant number, since it is smaller than the sum of its proper divisors (17298331815336).

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

8257361547864 is a wasteful number, since it uses less digits than its factorization.

8257361547864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2903 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 8257361547864 in words is "eight trillion, two hundred fifty-seven billion, three hundred sixty-one million, five hundred forty-seven thousand, eight hundred sixty-four".