6280830720 has 504 divisors, whose sum is σ = 23163065856. Its totient is φ = 1630347264.

The previous prime is 6280830719. The next prime is 6280830737. The reversal of 6280830720 is 270380826.

It is a happy number.

6280830720 is a `hidden beast` number, since 628 + 0 + 8 + 3 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49455297 + ... + 49455423.

It is an arithmetic number, because the mean of its divisors is an integer number (45958464).

Almost surely, 2^6280830720 is an apocalyptic number.

6280830720 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 6280830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581532928).

6280830720 is an abundant number, since it is smaller than the sum of its proper divisors (16882235136).

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

6280830720 is an equidigital number, since it uses as much as digits as its factorization.

6280830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6280830720 is about 79251.6922216807. The cubic root of 6280830720 is about 1845.0396184235.

It can be divided in two parts, 62808 and 30720, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 6280830720 in words is "six billion, two hundred eighty million, eight hundred thirty thousand, seven hundred twenty".