8127467680 has 96 divisors (see below), whose sum is σ = 20079964800. Its totient is φ = 3102815232.

The previous prime is 8127467641. The next prime is 8127467681. The reversal of 8127467680 is 867647218.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8127467681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870951 + ... + 1875289.

It is an arithmetic number, because the mean of its divisors is an integer number (209166300).

Almost surely, 2^8127467680 is an apocalyptic number.

8127467680 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 8127467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039982400).

8127467680 is an abundant number, since it is smaller than the sum of its proper divisors (11952497120).

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

8127467680 is a wasteful number, since it uses less digits than its factorization.

8127467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 8127467680 is about 90152.4690732317. The cubic root of 8127467680 is about 2010.5663841199.

The spelling of 8127467680 in words is "eight billion, one hundred twenty-seven million, four hundred sixty-seven thousand, six hundred eighty".