8067739680 has 1152 divisors, whose sum is σ = 38437701120. Its totient is φ = 1486356480.

The previous prime is 8067739661. The next prime is 8067739741. The reversal of 8067739680 is 869377608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41801664 + ... + 41801856.

It is an arithmetic number, because the mean of its divisors is an integer number (33366060).

Almost surely, 2^8067739680 is an apocalyptic number.

8067739680 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 8067739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19218850560).

8067739680 is an abundant number, since it is smaller than the sum of its proper divisors (30369961440).

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

8067739680 is a wasteful number, since it uses less digits than its factorization.

8067739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8067739680 is about 89820.5971924035. The cubic root of 8067739680 is about 2005.6291150014.

It can be divided in two parts, 8067 and 739680, that added together give a palindrome (747747).

The spelling of 8067739680 in words is "eight billion, sixty-seven million, seven hundred thirty-nine thousand, six hundred eighty".