6493271040 has 528 divisors, whose sum is σ = 24785272512. Its totient is φ = 1624375296.

The previous prime is 6493271017. The next prime is 6493271047. The reversal of 6493271040 is 401723946.

6493271040 = T₃₂₁ + T₃₂₂ + ... + T₃₃₉₀.

6493271040 is a `hidden beast` number, since 649 + 3 + 2 + 7 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6493270986 and 6493271004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493271047) 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 47 ways as a sum of consecutive naturals, for example, 21150567 + ... + 21150873.

It is an arithmetic number, because the mean of its divisors is an integer number (46941804).

Almost surely, 2^6493271040 is an apocalyptic number.

6493271040 is a gapful number since it is divisible by the number (60) 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 6493271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392636256).

6493271040 is an abundant number, since it is smaller than the sum of its proper divisors (18292001472).

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

6493271040 is a wasteful number, since it uses less digits than its factorization.

6493271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6493271040 is about 80580.8354387071. The cubic root of 6493271040 is about 1865.6113581488.

Adding to 6493271040 its reverse (401723946), we get a palindrome (6894994986).

The spelling of 6493271040 in words is "six billion, four hundred ninety-three million, two hundred seventy-one thousand, forty".