8038246680 has 512 divisors, whose sum is σ = 30357504000. Its totient is φ = 1881169920.

The previous prime is 8038246679. The next prime is 8038246681. The reversal of 8038246680 is 866428308.

It is a happy number.

8038246680 is a `hidden beast` number, since 80 + 38 + 2 + 466 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8038246679) and next prime (8038246681).

It is a super-2 number, since 2×8038246680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038246681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16505397 + ... + 16505883.

It is an arithmetic number, because the mean of its divisors is an integer number (59292000).

Almost surely, 2^8038246680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038246680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178752000).

8038246680 is an abundant number, since it is smaller than the sum of its proper divisors (22319257320).

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

8038246680 is a wasteful number, since it uses less digits than its factorization.

8038246680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

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

The square root of 8038246680 is about 89656.2696078752. The cubic root of 8038246680 is about 2003.1821575846.

The spelling of 8038246680 in words is "eight billion, thirty-eight million, two hundred forty-six thousand, six hundred eighty".