6475292928 has 504 divisors, whose sum is σ = 22238151768. Its totient is φ = 1863254016.

The previous prime is 6475292881. The next prime is 6475292933. The reversal of 6475292928 is 8292925746.

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 6113988864 = 19008^2 + 78192^2 .

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

Its product of digits (4354560) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 41243826 + ... + 41243982.

It is an arithmetic number, because the mean of its divisors is an integer number (44123317).

Almost surely, 2^6475292928 is an apocalyptic number.

6475292928 is a gapful number since it is divisible by the number (68) 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 6475292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119075884).

6475292928 is an abundant number, since it is smaller than the sum of its proper divisors (15762858840).

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

6475292928 is a wasteful number, since it uses less digits than its factorization.

6475292928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6475292928 is about 80469.2048425980. The cubic root of 6475292928 is about 1863.8879754862.

The spelling of 6475292928 in words is "six billion, four hundred seventy-five million, two hundred ninety-two thousand, nine hundred twenty-eight".