6406283520 has 1080 divisors, whose sum is σ = 29012589144. Its totient is φ = 1337720832.

The previous prime is 6406283503. The next prime is 6406283531. The reversal of 6406283520 is 253826046.

6406283520 is a `hidden beast` number, since 6 + 4 + 0 + 628 + 3 + 5 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 6341255424 = 8064^2 + 79632^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66044112 + ... + 66044208.

Almost surely, 2^6406283520 is an apocalyptic number.

6406283520 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 6406283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506294572).

6406283520 is an abundant number, since it is smaller than the sum of its proper divisors (22606305624).

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

6406283520 is a wasteful number, since it uses less digits than its factorization.

6406283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6406283520 is about 80039.2623654166. The cubic root of 6406283520 is about 1857.2429496236.

The spelling of 6406283520 in words is "six billion, four hundred six million, two hundred eighty-three thousand, five hundred twenty".