8495627040 has 144 divisors (see below), whose sum is σ = 29070889848. Its totient is φ = 2259283968.

The previous prime is 8495627033. The next prime is 8495627071. The reversal of 8495627040 is 407265948.

It is a happy number.

8495627040 is a `hidden beast` number, since 8 + 49 + 562 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8102160144 + 393466896 = 90012^2 + 19836^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 529212 + ... + 545028.

Almost surely, 2^8495627040 is an apocalyptic number.

8495627040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8495627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535444924).

8495627040 is an abundant number, since it is smaller than the sum of its proper divisors (20575262808).

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

8495627040 is a wasteful number, since it uses less digits than its factorization.

8495627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16211 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8495627040 is about 92171.7258165431. The cubic root of 8495627040 is about 2040.4775122086.

The spelling of 8495627040 in words is "eight billion, four hundred ninety-five million, six hundred twenty-seven thousand, forty".