8013829376 has 288 divisors, whose sum is σ = 20556426240. Its totient is φ = 3038773248.

The previous prime is 8013829319. The next prime is 8013829379. The reversal of 8013829376 is 6739283108.

It is a super-2 number, since 2×8013829376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 8013829376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013829379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41522336 + ... + 41522528.

It is an arithmetic number, because the mean of its divisors is an integer number (71376480).

Almost surely, 2^8013829376 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 8013829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278213120).

8013829376 is an abundant number, since it is smaller than the sum of its proper divisors (12542596864).

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

8013829376 is a wasteful number, since it uses less digits than its factorization.

8013829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 8013829376 is about 89519.9942806075. The cubic root of 8013829376 is about 2001.1517845688.

The spelling of 8013829376 in words is "eight billion, thirteen million, eight hundred twenty-nine thousand, three hundred seventy-six".