8015064120 has 768 divisors, whose sum is σ = 34100352000. Its totient is φ = 1588543488.

The previous prime is 8015064089. The next prime is 8015064131. The reversal of 8015064120 is 214605108.

8015064120 is a `hidden beast` number, since 8 + 0 + 15 + 0 + 641 + 2 + 0 = 666.

It is a super-2 number, since 2×8015064120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35000166 + ... + 35000394.

It is an arithmetic number, because the mean of its divisors is an integer number (44401500).

Almost surely, 2^8015064120 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 8015064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050176000).

8015064120 is an abundant number, since it is smaller than the sum of its proper divisors (26085287880).

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

8015064120 is a wasteful number, since it uses less digits than its factorization.

8015064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8015064120 is about 89526.8904854849. The cubic root of 8015064120 is about 2001.2545562131.

Adding to 8015064120 its reverse (214605108), we get a palindrome (8229669228).

The spelling of 8015064120 in words is "eight billion, fifteen million, sixty-four thousand, one hundred twenty".