6268741632 has 480 divisors, whose sum is σ = 20549168640. Its totient is φ = 1897758720.

The previous prime is 6268741597. The next prime is 6268741651. The reversal of 6268741632 is 2361478626.

6268741632 is a `hidden beast` number, since 6 + 2 + 6 + 8 + 7 + 4 + 1 + 632 = 666.

Its product of digits (580608) is a multiple of the sum of its prime divisors (112).

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 39 ways as a sum of consecutive naturals, for example, 118278118 + ... + 118278170.

It is an arithmetic number, because the mean of its divisors is an integer number (42810768).

Almost surely, 2^6268741632 is an apocalyptic number.

6268741632 is a gapful number since it is divisible by the number (62) 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 6268741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274584320).

6268741632 is an abundant number, since it is smaller than the sum of its proper divisors (14280427008).

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

6268741632 is a wasteful number, since it uses less digits than its factorization.

6268741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6268741632 is about 79175.3852658767. The cubic root of 6268741632 is about 1843.8551056780.

The spelling of 6268741632 in words is "six billion, two hundred sixty-eight million, seven hundred forty-one thousand, six hundred thirty-two".