6560072064 has 640 divisors, whose sum is σ = 25503508800. Its totient is φ = 1624375296.

The previous prime is 6560072039. The next prime is 6560072089. The reversal of 6560072064 is 4602700656.

It is an interprime number because it is at equal distance from previous prime (6560072039) and next prime (6560072089).

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 79 ways as a sum of consecutive naturals, for example, 16039092 + ... + 16039500.

Almost surely, 2^6560072064 is an apocalyptic number.

6560072064 is a gapful number since it is divisible by the number (64) 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 6560072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12751754400).

6560072064 is an abundant number, since it is smaller than the sum of its proper divisors (18943436736).

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

6560072064 is a wasteful number, since it uses less digits than its factorization.

6560072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6560072064 is about 80994.2717974549. The cubic root of 6560072064 is about 1871.9871793994.

The spelling of 6560072064 in words is "six billion, five hundred sixty million, seventy-two thousand, sixty-four".