6272385984 has 224 divisors, whose sum is σ = 19140098880. Its totient is φ = 2037934080.

The previous prime is 6272385941. The next prime is 6272385991. The reversal of 6272385984 is 4895832726.

6272385984 is a `hidden beast` number, since 6 + 27 + 23 + 8 + 598 + 4 = 666.

It is a super-3 number, since 3×6272385984³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6272385984.

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, 5738142 + ... + 5739234.

It is an arithmetic number, because the mean of its divisors is an integer number (85446870).

Almost surely, 2^6272385984 is an apocalyptic number.

6272385984 is a gapful number since it is divisible by the number (64) 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 6272385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9570049440).

6272385984 is an abundant number, since it is smaller than the sum of its proper divisors (12867712896).

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

6272385984 is an equidigital number, since it uses as much as digits as its factorization.

6272385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1139 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6272385984 is about 79198.3963474009. The cubic root of 6272385984 is about 1844.2123467158.

The spelling of 6272385984 in words is "six billion, two hundred seventy-two million, three hundred eighty-five thousand, nine hundred eighty-four".