8277248384 has 64 divisors (see below), whose sum is σ = 16737710400. Its totient is φ = 4076666880.

The previous prime is 8277248383. The next prime is 8277248401. The reversal of 8277248384 is 4838427728.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8277248384² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8277248383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6481154 + ... + 6482430.

It is an arithmetic number, because the mean of its divisors is an integer number (261526725).

Almost surely, 2^8277248384 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 8277248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368855200).

8277248384 is an abundant number, since it is smaller than the sum of its proper divisors (8460462016).

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

8277248384 is a wasteful number, since it uses less digits than its factorization.

8277248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1999 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 53.

The square root of 8277248384 is about 90979.3843900914. The cubic root of 8277248384 is about 2022.8421567526.

The spelling of 8277248384 in words is "eight billion, two hundred seventy-seven million, two hundred forty-eight thousand, three hundred eighty-four".