6358368240 has 320 divisors, whose sum is σ = 26348313600. Its totient is φ = 1376787456.

The previous prime is 6358368229. The next prime is 6358368253. The reversal of 6358368240 is 428638536.

It is a happy number.

6358368240 is a `hidden beast` number, since 6 + 3 + 583 + 68 + 2 + 4 + 0 = 666.

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

It is a congruent number.

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, 276214 + ... + 298346.

It is an arithmetic number, because the mean of its divisors is an integer number (82338480).

Almost surely, 2^6358368240 is an apocalyptic number.

6358368240 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 6358368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174156800).

6358368240 is an abundant number, since it is smaller than the sum of its proper divisors (19989945360).

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

6358368240 is a wasteful number, since it uses less digits than its factorization.

6358368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22181 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6358368240 is about 79739.3769727354. The cubic root of 6358368240 is about 1852.6009910685.

The spelling of 6358368240 in words is "six billion, three hundred fifty-eight million, three hundred sixty-eight thousand, two hundred forty".