6450738560 has 128 divisors (see below), whose sum is σ = 17888221440. Its totient is φ = 2178570240.

The previous prime is 6450738557. The next prime is 6450738563. The reversal of 6450738560 is 658370546.

It is an interprime number because it is at equal distance from previous prime (6450738557) and next prime (6450738563).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6450738560² = 83224055938941747200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450738563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289415 + ... + 310905.

It is an arithmetic number, because the mean of its divisors is an integer number (139751730).

Almost surely, 2^6450738560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6450738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944110720).

6450738560 is an abundant number, since it is smaller than the sum of its proper divisors (11437482880).

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

6450738560 is a wasteful number, since it uses less digits than its factorization.

6450738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21584 (or 21572 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 6450738560 is about 80316.4899631452. The cubic root of 6450738560 is about 1861.5290313656.

The spelling of 6450738560 in words is "six billion, four hundred fifty million, seven hundred thirty-eight thousand, five hundred sixty".