6360456960 has 972 divisors, whose sum is σ = 27162908136. Its totient is φ = 1423319040.

The previous prime is 6360456953. The next prime is 6360457003. The reversal of 6360456960 is 696540636.

6360456960 is a `hidden beast` number, since 636 + 0 + 4 + 5 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 489265914 + ... + 489265926.

Almost surely, 2^6360456960 is an apocalyptic number.

6360456960 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 6360456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581454068).

6360456960 is an abundant number, since it is smaller than the sum of its proper divisors (20802451176).

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

6360456960 is a wasteful number, since it uses less digits than its factorization.

6360456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6360456960 is about 79752.4730651031. The cubic root of 6360456960 is about 1852.8038282828.

The spelling of 6360456960 in words is "six billion, three hundred sixty million, four hundred fifty-six thousand, nine hundred sixty".