6293287440 has 400 divisors, whose sum is σ = 23964240000. Its totient is φ = 1517978880.

The previous prime is 6293287397. The next prime is 6293287501. The reversal of 6293287440 is 447823926.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 31624461 + ... + 31624659.

It is an arithmetic number, because the mean of its divisors is an integer number (59910600).

Almost surely, 2^6293287440 is an apocalyptic number.

6293287440 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 6293287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982120000).

6293287440 is an abundant number, since it is smaller than the sum of its proper divisors (17670952560).

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

6293287440 is a wasteful number, since it uses less digits than its factorization.

6293287440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 220 counting only the distinct ones).

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

The square root of 6293287440 is about 79330.2429089940. The cubic root of 6293287440 is about 1846.2585635793.

The spelling of 6293287440 in words is "six billion, two hundred ninety-three million, two hundred eighty-seven thousand, four hundred forty".