6450945600 has 504 divisors, whose sum is σ = 24128455680. Its totient is φ = 1505996800.

The previous prime is 6450945587. The next prime is 6450945601. The reversal of 6450945600 is 65490546.

It is a super-2 number, since 2×6450945600² = 83229398268318720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450945601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16843009 + ... + 16843391.

It is an arithmetic number, because the mean of its divisors is an integer number (47873920).

Almost surely, 2^6450945600 is an apocalyptic number.

6450945600 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 6450945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064227840).

6450945600 is an abundant number, since it is smaller than the sum of its proper divisors (17677510080).

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

6450945600 is a wasteful number, since it uses less digits than its factorization.

6450945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 6450945600 is about 80317.7788537507. The cubic root of 6450945600 is about 1861.5489467517.

The spelling of 6450945600 in words is "six billion, four hundred fifty million, nine hundred forty-five thousand, six hundred".