8232642302976 has 2112 divisors, whose sum is σ = 32147398080000. Its totient is φ = 2085841207296.

The previous prime is 8232642302953. The next prime is 8232642303001. The reversal of 8232642302976 is 6792032462328.

8232642302976 is a `hidden beast` number, since 8 + 2 + 3 + 264 + 2 + 302 + 9 + 76 = 666.

It is a super-3 number, since 3×8232642302976³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41370061725 + ... + 41370061923.

Almost surely, 2^{8232642302976} 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 8232642302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073699040000).

8232642302976 is an abundant number, since it is smaller than the sum of its proper divisors (23914755777024).

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

8232642302976 is a wasteful number, since it uses less digits than its factorization.

8232642302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 8232642302976 in words is "eight trillion, two hundred thirty-two billion, six hundred forty-two million, three hundred two thousand, nine hundred seventy-six".