8234059970064 has 320 divisors, whose sum is σ = 23280109977600. Its totient is φ = 2501501184000.

The previous prime is 8234059970063. The next prime is 8234059970117. The reversal of 8234059970064 is 4600799504328.

It is a super-2 number, since 2×8234059970064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8234059969986 and 8234059970013.

It is not an unprimeable number, because it can be changed into a prime (8234059970063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282933114 + ... + 282962214.

It is an arithmetic number, because the mean of its divisors is an integer number (72750343680).

Almost surely, 2^{8234059970064} 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 8234059970064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640054988800).

8234059970064 is an abundant number, since it is smaller than the sum of its proper divisors (15046050007536).

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

8234059970064 is a wasteful number, since it uses less digits than its factorization.

8234059970064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29334 (or 29328 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 8234059970064 in words is "eight trillion, two hundred thirty-four billion, fifty-nine million, nine hundred seventy thousand, sixty-four".