8149723680 has 192 divisors, whose sum is σ = 29535141888. Its totient is φ = 1850342400.

The previous prime is 8149723679. The next prime is 8149723697. The reversal of 8149723680 is 863279418.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499329 + ... + 515391.

It is an arithmetic number, because the mean of its divisors is an integer number (153828864).

Almost surely, 2^8149723680 is an apocalyptic number.

8149723680 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 8149723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767570944).

8149723680 is an abundant number, since it is smaller than the sum of its proper divisors (21385418208).

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

8149723680 is a wasteful number, since it uses less digits than its factorization.

8149723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16239 (or 16231 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 8149723680 is about 90275.8200184302. The cubic root of 8149723680 is about 2012.3999352533.

The spelling of 8149723680 in words is "eight billion, one hundred forty-nine million, seven hundred twenty-three thousand, six hundred eighty".