8246638080 has 320 divisors, whose sum is σ = 29477131200. Its totient is φ = 2185297920.

The previous prime is 8246638021. The next prime is 8246638097. The reversal of 8246638080 is 808366428.

It is a happy number.

8246638080 is a `hidden beast` number, since 8 + 2 + 4 + 6 + 638 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 15828220 + ... + 15828740.

It is an arithmetic number, because the mean of its divisors is an integer number (92116035).

Almost surely, 2^8246638080 is an apocalyptic number.

8246638080 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 8246638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738565600).

8246638080 is an abundant number, since it is smaller than the sum of its proper divisors (21230493120).

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

8246638080 is a wasteful number, since it uses less digits than its factorization.

8246638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8246638080 is about 90811.0019766328. The cubic root of 8246638080 is about 2020.3455017946.

The spelling of 8246638080 in words is "eight billion, two hundred forty-six million, six hundred thirty-eight thousand, eighty".