8152982640 has 320 divisors, whose sum is σ = 31626547200. Its totient is φ = 1912550400.

The previous prime is 8152982627. The next prime is 8152982641. The reversal of 8152982640 is 462892518.

8152982640 is a `hidden beast` number, since 8 + 1 + 529 + 82 + 6 + 40 = 666.

It is a super-2 number, since 2×8152982640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8152982641) 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 63 ways as a sum of consecutive naturals, for example, 731026 + ... + 742094.

It is an arithmetic number, because the mean of its divisors is an integer number (98832960).

Almost surely, 2^8152982640 is an apocalyptic number.

8152982640 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 8152982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813273600).

8152982640 is an abundant number, since it is smaller than the sum of its proper divisors (23473564560).

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

8152982640 is a wasteful number, since it uses less digits than its factorization.

8152982640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8152982640 is about 90293.8682303511. The cubic root of 8152982640 is about 2012.6681429926.

The spelling of 8152982640 in words is "eight billion, one hundred fifty-two million, nine hundred eighty-two thousand, six hundred forty".