6315056640 has 480 divisors, whose sum is σ = 24198647616. Its totient is φ = 1513881600.

The previous prime is 6315056603. The next prime is 6315056653. The reversal of 6315056640 is 466505136.

6315056640 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 6315056595 and 6315056604.

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, 9008290 + ... + 9008990.

Almost surely, 2^6315056640 is an apocalyptic number.

6315056640 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 6315056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099323808).

6315056640 is an abundant number, since it is smaller than the sum of its proper divisors (17883590976).

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

6315056640 is a wasteful number, since it uses less digits than its factorization.

6315056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6315056640 is about 79467.3306459957. The cubic root of 6315056640 is about 1848.3849201005.

The spelling of 6315056640 in words is "six billion, three hundred fifteen million, fifty-six thousand, six hundred forty".