8672338080 has 144 divisors (see below), whose sum is σ = 33822157824. Its totient is φ = 1982246400.

The previous prime is 8672338069. The next prime is 8672338091. The reversal of 8672338080 is 808332768.

It is an interprime number because it is at equal distance from previous prime (8672338069) and next prime (8672338091).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420096 + ... + 440255.

It is an arithmetic number, because the mean of its divisors is an integer number (234876096).

Almost surely, 2^8672338080 is an apocalyptic number.

8672338080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8672338080 is an abundant number, since it is smaller than the sum of its proper divisors (25149819744).

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

8672338080 is a wasteful number, since it uses less digits than its factorization.

8672338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860379 (or 860368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8672338080 is about 93125.3890193217. The cubic root of 8672338080 is about 2054.5280106641.

The spelling of 8672338080 in words is "eight billion, six hundred seventy-two million, three hundred thirty-eight thousand, eighty".