6402447360 has 576 divisors, whose sum is σ = 24040074240. Its totient is φ = 1632337920.

The previous prime is 6402447353. The next prime is 6402447409. The reversal of 6402447360 is 637442046.

6402447360 is a `hidden beast` number, since 640 + 2 + 4 + 4 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 77137879 + ... + 77137961.

It is an arithmetic number, because the mean of its divisors is an integer number (41736240).

Almost surely, 2^6402447360 is an apocalyptic number.

6402447360 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 6402447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

6402447360 is an abundant number, since it is smaller than the sum of its proper divisors (17637626880).

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

6402447360 is an equidigital number, since it uses as much as digits as its factorization.

6402447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6402447360 is about 80015.2945379819. The cubic root of 6402447360 is about 1856.8721624280.

The spelling of 6402447360 in words is "six billion, four hundred two million, four hundred forty-seven thousand, three hundred sixty".