8114247680 has 384 divisors, whose sum is σ = 24964692480. Its totient is φ = 2457600000.

The previous prime is 8114247677. The next prime is 8114247683. The reversal of 8114247680 is 867424118.

It is an interprime number because it is at equal distance from previous prime (8114247677) and next prime (8114247683).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8114247683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32327555 + ... + 32327805.

It is an arithmetic number, because the mean of its divisors is an integer number (65012220).

Almost surely, 2^8114247680 is an apocalyptic number.

8114247680 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 8114247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482346240).

8114247680 is an abundant number, since it is smaller than the sum of its proper divisors (16850444800).

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

8114247680 is a wasteful number, since it uses less digits than its factorization.

8114247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 8114247680 is about 90079.1190010204. The cubic root of 8114247680 is about 2009.4756748922.

The spelling of 8114247680 in words is "eight billion, one hundred fourteen million, two hundred forty-seven thousand, six hundred eighty".