6407270352 has 240 divisors, whose sum is σ = 21977879040. Its totient is φ = 1700794368.

The previous prime is 6407270327. The next prime is 6407270399. The reversal of 6407270352 is 2530727046.

It is a happy number.

6407270352 is a `hidden beast` number, since 640 + 7 + 2 + 7 + 0 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×6407270352² = 82106226727236407808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351378 + ... + 1356110.

It is an arithmetic number, because the mean of its divisors is an integer number (91574496).

Almost surely, 2^6407270352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407270352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988939520).

6407270352 is an abundant number, since it is smaller than the sum of its proper divisors (15570608688).

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

6407270352 is a wasteful number, since it uses less digits than its factorization.

6407270352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 6407270352 is about 80045.4268025351. The cubic root of 6407270352 is about 1857.3383087435.

Adding to 6407270352 its reverse (2530727046), we get a palindrome (8937997398).

The spelling of 6407270352 in words is "six billion, four hundred seven million, two hundred seventy thousand, three hundred fifty-two".