6238774080 has 504 divisors, whose sum is σ = 27238330080. Its totient is φ = 1296046080.

The previous prime is 6238774079. The next prime is 6238774133. The reversal of 6238774080 is 804778326.

It is a happy number.

6238774080 is a `hidden beast` number, since 6 + 238 + 7 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 1550311 + ... + 1554329.

Almost surely, 2^6238774080 is an apocalyptic number.

6238774080 is a gapful number since it is divisible by the number (60) 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 6238774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619165040).

6238774080 is an abundant number, since it is smaller than the sum of its proper divisors (20999556000).

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

6238774080 is a wasteful number, since it uses less digits than its factorization.

6238774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6238774080 is about 78985.9106423418. The cubic root of 6238774080 is about 1840.9122445604.

The spelling of 6238774080 in words is "six billion, two hundred thirty-eight million, seven hundred seventy-four thousand, eighty".