8006229504 has 480 divisors, whose sum is σ = 28997352384. Its totient is φ = 2070282240.

The previous prime is 8006229493. The next prime is 8006229527. The reversal of 8006229504 is 4059226008.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25578852 + ... + 25579164.

Almost surely, 2^8006229504 is an apocalyptic number.

8006229504 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 8006229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498676192).

8006229504 is an abundant number, since it is smaller than the sum of its proper divisors (20991122880).

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

8006229504 is a wasteful number, since it uses less digits than its factorization.

8006229504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8006229504 is about 89477.5363094000. The cubic root of 8006229504 is about 2000.5189906460.

The spelling of 8006229504 in words is "eight billion, six million, two hundred twenty-nine thousand, five hundred four".