8130536064 has 384 divisors, whose sum is σ = 28412467200. Its totient is φ = 2181408768.

The previous prime is 8130536053. The next prime is 8130536083. The reversal of 8130536064 is 4606350318.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8130536064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10942477 + ... + 10943219.

It is an arithmetic number, because the mean of its divisors is an integer number (73990800).

Almost surely, 2^8130536064 is an apocalyptic number.

8130536064 is a gapful number since it is divisible by the number (84) 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 8130536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206233600).

8130536064 is an abundant number, since it is smaller than the sum of its proper divisors (20281931136).

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

8130536064 is a wasteful number, since it uses less digits than its factorization.

8130536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8130536064 is about 90169.4852153432. The cubic root of 8130536064 is about 2010.8193704035.

The spelling of 8130536064 in words is "eight billion, one hundred thirty million, five hundred thirty-six thousand, sixty-four".