8484137376 has 192 divisors, whose sum is σ = 26498949120. Its totient is φ = 2342845440.

The previous prime is 8484137371. The next prime is 8484137377. The reversal of 8484137376 is 6737314848.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8484137371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080601 + ... + 1088423.

It is an arithmetic number, because the mean of its divisors is an integer number (138015360).

Almost surely, 2^8484137376 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 8484137376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249474560).

8484137376 is an abundant number, since it is smaller than the sum of its proper divisors (18014811744).

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

8484137376 is a wasteful number, since it uses less digits than its factorization.

8484137376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7931 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 8484137376 is about 92109.3772424936. The cubic root of 8484137376 is about 2039.5572357043.

The spelling of 8484137376 in words is "eight billion, four hundred eighty-four million, one hundred thirty-seven thousand, three hundred seventy-six".