8291672064 has 336 divisors, whose sum is σ = 26549110224. Its totient is φ = 2477260800.

The previous prime is 8291672057. The next prime is 8291672071. The reversal of 8291672064 is 4602761928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8291672057) and next prime (8291672071).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39296919 + ... + 39297129.

It is an arithmetic number, because the mean of its divisors is an integer number (79015209).

Almost surely, 2^8291672064 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 8291672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274555112).

8291672064 is an abundant number, since it is smaller than the sum of its proper divisors (18257438160).

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

8291672064 is a wasteful number, since it uses less digits than its factorization.

8291672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8291672064 is about 91058.6188342433. The cubic root of 8291672064 is about 2024.0164558854.

The spelling of 8291672064 in words is "eight billion, two hundred ninety-one million, six hundred seventy-two thousand, sixty-four".