8152969440 has 192 divisors, whose sum is σ = 32019079680. Its totient is φ = 1694115840.

The previous prime is 8152969399. The next prime is 8152969441. The reversal of 8152969440 is 449692518.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8152969440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8152969441) 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 31 ways as a sum of consecutive naturals, for example, 73335 + ... + 147254.

It is an arithmetic number, because the mean of its divisors is an integer number (166766040).

Almost surely, 2^8152969440 is an apocalyptic number.

8152969440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8152969440 is an abundant number, since it is smaller than the sum of its proper divisors (23866110240).

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

8152969440 is a wasteful number, since it uses less digits than its factorization.

8152969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220625 (or 220617 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8152969440 is about 90293.7951356570. The cubic root of 8152969440 is about 2012.6670567957.

The spelling of 8152969440 in words is "eight billion, one hundred fifty-two million, nine hundred sixty-nine thousand, four hundred forty".