8427354624 has 120 divisors (see below), whose sum is σ = 26193018852. Its totient is φ = 2593013760.

The previous prime is 8427354589. The next prime is 8427354643. The reversal of 8427354624 is 4264537248.

It is a happy number.

8427354624 is a `hidden beast` number, since 84 + 2 + 7 + 3 + 546 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6387206400 + 2040148224 = 79920^2 + 45168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8427354624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10437 + ... + 130244.

Almost surely, 2^8427354624 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 8427354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096509426).

8427354624 is an abundant number, since it is smaller than the sum of its proper divisors (17765664228).

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

8427354624 is a wasteful number, since it uses less digits than its factorization.

8427354624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140718 (or 140699 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 8427354624 is about 91800.6243116026. The cubic root of 8427354624 is about 2034.9969211157.

The spelling of 8427354624 in words is "eight billion, four hundred twenty-seven million, three hundred fifty-four thousand, six hundred twenty-four".