6277633152 has 128 divisors (see below), whose sum is σ = 19099100160. Its totient is φ = 1789658112.

The previous prime is 6277633151. The next prime is 6277633171. The reversal of 6277633152 is 2513367726.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6277633151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1349743 + ... + 1354385.

It is an arithmetic number, because the mean of its divisors is an integer number (149211720).

Almost surely, 2^6277633152 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 6277633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549550080).

6277633152 is an abundant number, since it is smaller than the sum of its proper divisors (12821467008).

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

6277633152 is a wasteful number, since it uses less digits than its factorization.

6277633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5158 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 6277633152 is about 79231.5161536115. The cubic root of 6277633152 is about 1844.7264623376.

The spelling of 6277633152 in words is "six billion, two hundred seventy-seven million, six hundred thirty-three thousand, one hundred fifty-two".