8152842240 has 512 divisors, whose sum is σ = 30827664000. Its totient is φ = 2038431744.

The previous prime is 8152842227. The next prime is 8152842287. The reversal of 8152842240 is 422482518.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 8152842195 and 8152842204.

It is a congruent number.

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, 84049872 + ... + 84049968.

Almost surely, 2^8152842240 is an apocalyptic number.

8152842240 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 8152842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413832000).

8152842240 is an abundant number, since it is smaller than the sum of its proper divisors (22674821760).

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

8152842240 is an equidigital number, since it uses as much as digits as its factorization.

8152842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8152842240 is about 90293.0907655730. The cubic root of 8152842240 is about 2012.6565897472.

The spelling of 8152842240 in words is "eight billion, one hundred fifty-two million, eight hundred forty-two thousand, two hundred forty".