6268677120 has 264 divisors, whose sum is σ = 22474586160. Its totient is φ = 1613660160.

The previous prime is 6268677119. The next prime is 6268677143. The reversal of 6268677120 is 217768626.

6268677120 is a `hidden beast` number, since 626 + 8 + 6 + 7 + 7 + 12 + 0 = 666.

It is a super-2 number, since 2×6268677120² = 78592625669622988800, which 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1333975 + ... + 1338665.

Almost surely, 2^6268677120 is an apocalyptic number.

6268677120 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 6268677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237293080).

6268677120 is an abundant number, since it is smaller than the sum of its proper divisors (16205909040).

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

6268677120 is a wasteful number, since it uses less digits than its factorization.

6268677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6268677120 is about 79174.9778654847. The cubic root of 6268677120 is about 1843.8487805814.

The spelling of 6268677120 in words is "six billion, two hundred sixty-eight million, six hundred seventy-seven thousand, one hundred twenty".