6344292240 has 480 divisors, whose sum is σ = 25631109504. Its totient is φ = 1385717760.

The previous prime is 6344292233. The next prime is 6344292247. The reversal of 6344292240 is 422924436.

6344292240 is a `hidden beast` number, since 6 + 3 + 4 + 429 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6344292233) and next prime (6344292247).

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 = 6344292195 and 6344292204.

It is not an unprimeable number, because it can be changed into a prime (6344292247) 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, 4426564 + ... + 4427996.

Almost surely, 2^6344292240 is an apocalyptic number.

6344292240 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 6344292240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815554752).

6344292240 is an abundant number, since it is smaller than the sum of its proper divisors (19286817264).

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

6344292240 is a wasteful number, since it uses less digits than its factorization.

6344292240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1510 counting only the distinct ones).

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

The square root of 6344292240 is about 79651.0655295960. The cubic root of 6344292240 is about 1851.2329001109.

The spelling of 6344292240 in words is "six billion, three hundred forty-four million, two hundred ninety-two thousand, two hundred forty".