6403494240 has 576 divisors, whose sum is σ = 25985074752. Its totient is φ = 1427374080.

The previous prime is 6403494221. The next prime is 6403494271. The reversal of 6403494240 is 424943046.

6403494240 is a `hidden beast` number, since 6 + 403 + 4 + 9 + 4 + 240 = 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 = 6403494195 and 6403494204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24916192 + ... + 24916448.

It is an arithmetic number, because the mean of its divisors is an integer number (45112977).

Almost surely, 2^6403494240 is an apocalyptic number.

6403494240 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 6403494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992537376).

6403494240 is an abundant number, since it is smaller than the sum of its proper divisors (19581580512).

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

6403494240 is a wasteful number, since it uses less digits than its factorization.

6403494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6403494240 is about 80021.8360199265. The cubic root of 6403494240 is about 1856.9733641653.

The spelling of 6403494240 in words is "six billion, four hundred three million, four hundred ninety-four thousand, two hundred forty".