8139684000 has 576 divisors, whose sum is σ = 31550238720. Its totient is φ = 1828915200.

The previous prime is 8139683977. The next prime is 8139684001. The reversal of 8139684000 is 4869318.

It is a self number, because there is not a number n which added to its sum of digits gives 8139684000.

It is not an unprimeable number, because it can be changed into a prime (8139684001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64091937 + ... + 64092063.

It is an arithmetic number, because the mean of its divisors is an integer number (54774720).

Almost surely, 2^8139684000 is an apocalyptic number.

8139684000 is a gapful number since it is divisible by the number (80) 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 8139684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775119360).

8139684000 is an abundant number, since it is smaller than the sum of its proper divisors (23410554720).

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

8139684000 is a wasteful number, since it uses less digits than its factorization.

8139684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8139684000 is about 90220.1972952842. The cubic root of 8139684000 is about 2011.5732342811.

The spelling of 8139684000 in words is "eight billion, one hundred thirty-nine million, six hundred eighty-four thousand".