6407130240 has 1024 divisors, whose sum is σ = 28200960000. Its totient is φ = 1371009024.

The previous prime is 6407130209. The next prime is 6407130299. The reversal of 6407130240 is 420317046.

6407130240 is a `hidden beast` number, since 6 + 407 + 13 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136321897 + ... + 136321943.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 2^6407130240 is an apocalyptic number.

6407130240 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 6407130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480000).

6407130240 is an abundant number, since it is smaller than the sum of its proper divisors (21793829760).

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

6407130240 is a wasteful number, since it uses less digits than its factorization.

6407130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6407130240 is about 80044.5515947213. The cubic root of 6407130240 is about 1857.3247700982.

Adding to 6407130240 its reverse (420317046), we get a palindrome (6827447286).

The spelling of 6407130240 in words is "six billion, four hundred seven million, one hundred thirty thousand, two hundred forty".