8348126976 has 432 divisors, whose sum is σ = 30058246400. Its totient is φ = 2257403904.

The previous prime is 8348126953. The next prime is 8348127019. The reversal of 8348126976 is 6796218438.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8273160 + ... + 8274168.

Almost surely, 2^8348126976 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 8348126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029123200).

8348126976 is an abundant number, since it is smaller than the sum of its proper divisors (21710119424).

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

8348126976 is a wasteful number, since it uses less digits than its factorization.

8348126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1040 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8348126976 is about 91368.0851063433. The cubic root of 8348126976 is about 2028.5996616091.

The spelling of 8348126976 in words is "eight billion, three hundred forty-eight million, one hundred twenty-six thousand, nine hundred seventy-six".