8427392874 has 64 divisors (see below), whose sum is σ = 19153094400. Its totient is φ = 2745985536.

The previous prime is 8427392851. The next prime is 8427392891. The reversal of 8427392874 is 4782937248.

It is a happy number.

It is a Cunningham number, because it is equal to 2035³-1.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8427392874.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435987 + ... + 454905.

It is an arithmetic number, because the mean of its divisors is an integer number (299267100).

Almost surely, 2^8427392874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8427392874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576547200).

8427392874 is an abundant number, since it is smaller than the sum of its proper divisors (10725701526).

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

8427392874 is a wasteful number, since it uses less digits than its factorization.

8427392874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 19110 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 8427392874 is about 91800.8326432827. The cubic root of 8427392874 is about 2034.9999999195. Note that the first 7 decimals are identical.

It can be divided in two parts, 84273 and 92874, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 8427392874 in words is "eight billion, four hundred twenty-seven million, three hundred ninety-two thousand, eight hundred seventy-four".