8076365863488 has 504 divisors, whose sum is σ = 26372486996856. Its totient is φ = 2348775014400.

The previous prime is 8076365863483. The next prime is 8076365863519. The reversal of 8076365863488 is 8843685636708.

8076365863488 is a `hidden beast` number, since 8 + 0 + 7 + 6 + 3 + 6 + 586 + 34 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1146372793344 + 6929993070144 = 1070688^2 + 2632488^2 .

It is a super-2 number, since 2×8076365863488² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (8076365863481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1246157208 + ... + 1246163688.

It is an arithmetic number, because the mean of its divisors is an integer number (52326363089).

Almost surely, 2^{8076365863488} 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 8076365863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186243498428).

8076365863488 is an abundant number, since it is smaller than the sum of its proper divisors (18296121133368).

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

8076365863488 is a wasteful number, since it uses less digits than its factorization.

8076365863488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 8076365863488 in words is "eight trillion, seventy-six billion, three hundred sixty-five million, eight hundred sixty-three thousand, four hundred eighty-eight".