8247492792 has 256 divisors, whose sum is σ = 30067200000. Its totient is φ = 2029380480.

The previous prime is 8247492791. The next prime is 8247492793. The reversal of 8247492792 is 2972947428.

It is a happy number.

8247492792 is a `hidden beast` number, since 82 + 4 + 7 + 492 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8247492791) and next prime (8247492793).

It is a super-2 number, since 2×8247492792² (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (8247492791) 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 63 ways as a sum of consecutive naturals, for example, 302959 + ... + 329057.

It is an arithmetic number, because the mean of its divisors is an integer number (117450000).

Almost surely, 2^8247492792 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 8247492792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033600000).

8247492792 is an abundant number, since it is smaller than the sum of its proper divisors (21819707208).

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

8247492792 is a wasteful number, since it uses less digits than its factorization.

8247492792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26151 (or 26141 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 8247492792 is about 90815.7078483673. The cubic root of 8247492792 is about 2020.4152980709.

It can be divided in two parts, 824749 and 2792, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 8247492792 in words is "eight billion, two hundred forty-seven million, four hundred ninety-two thousand, seven hundred ninety-two".