6314574240 has 384 divisors, whose sum is σ = 23953708800. Its totient is φ = 1544417280.

The previous prime is 6314574199. The next prime is 6314574251. The reversal of 6314574240 is 424754136.

6314574240 is a `hidden beast` number, since 63 + 1 + 4 + 574 + 24 + 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 = 6314574195 and 6314574204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12860395 + ... + 12860885.

It is an arithmetic number, because the mean of its divisors is an integer number (62379450).

Almost surely, 2^6314574240 is an apocalyptic number.

6314574240 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 6314574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976854400).

6314574240 is an abundant number, since it is smaller than the sum of its proper divisors (17639134560).

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

6314574240 is a wasteful number, since it uses less digits than its factorization.

6314574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6314574240 is about 79464.2953784906. The cubic root of 6314574240 is about 1848.3378535609.

The spelling of 6314574240 in words is "six billion, three hundred fourteen million, five hundred seventy-four thousand, two hundred forty".