8149680000 has 1280 divisors, whose sum is σ = 38237760000. Its totient is φ = 1693440000.

The previous prime is 8149679987. The next prime is 8149680029. The reversal of 8149680000 is 869418.

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 159 ways as a sum of consecutive naturals, for example, 740879995 + ... + 740880005.

It is an arithmetic number, because the mean of its divisors is an integer number (29873250).

Almost surely, 2^8149680000 is an apocalyptic number.

8149680000 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 8149680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118880000).

8149680000 is an abundant number, since it is smaller than the sum of its proper divisors (30088080000).

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

8149680000 is an equidigital number, since it uses as much as digits as its factorization.

8149680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8149680000 is about 90275.5780928596. The cubic root of 8149680000 is about 2012.3963399664.

The spelling of 8149680000 in words is "eight billion, one hundred forty-nine million, six hundred eighty thousand".