6474793248 has 576 divisors, whose sum is σ = 24555847680. Its totient is φ = 1580705280.

The previous prime is 6474793243. The next prime is 6474793249. The reversal of 6474793248 is 8423974746.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6474793194 and 6474793203.

It is not an unprimeable number, because it can be changed into a prime (6474793243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50982561 + ... + 50982687.

It is an arithmetic number, because the mean of its divisors is an integer number (42631680).

Almost surely, 2^6474793248 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 6474793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277923840).

6474793248 is an abundant number, since it is smaller than the sum of its proper divisors (18081054432).

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

6474793248 is a wasteful number, since it uses less digits than its factorization.

6474793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6474793248 is about 80466.0999924813. The cubic root of 6474793248 is about 1863.8400306024.

The spelling of 6474793248 in words is "six billion, four hundred seventy-four million, seven hundred ninety-three thousand, two hundred forty-eight".