6275377152 has 480 divisors, whose sum is σ = 21643221600. Its totient is φ = 1791590400.

The previous prime is 6275377079. The next prime is 6275377153. The reversal of 6275377152 is 2517735726.

6275377152 is a `hidden beast` number, since 6 + 275 + 377 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×6275377152² = 78760716799687262208, which contains 22 as substring.

Its product of digits (617400) is a multiple of the sum of its prime factors (245).

It is a junction number, because it is equal to n+sod(n) for n = 6275377098 and 6275377107.

It is not an unprimeable number, because it can be changed into a prime (6275377153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34670502 + ... + 34670682.

It is an arithmetic number, because the mean of its divisors is an integer number (45090045).

Almost surely, 2^6275377152 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 6275377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821610800).

6275377152 is an abundant number, since it is smaller than the sum of its proper divisors (15367844448).

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

6275377152 is a wasteful number, since it uses less digits than its factorization.

6275377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 6275377152 is about 79217.2781153203. The cubic root of 6275377152 is about 1844.5054553949.

The spelling of 6275377152 in words is "six billion, two hundred seventy-five million, three hundred seventy-seven thousand, one hundred fifty-two".