6450754560 has 176 divisors, whose sum is σ = 20699788032. Its totient is φ = 1714585600.

The previous prime is 6450754553. The next prime is 6450754631. The reversal of 6450754560 is 654570546.

It is a super-2 number, since 2×6450754560² = 83224468786721587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7080505 + ... + 7081415.

It is an arithmetic number, because the mean of its divisors is an integer number (117612432).

Almost surely, 2^6450754560 is an apocalyptic number.

6450754560 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 6450754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349894016).

6450754560 is an abundant number, since it is smaller than the sum of its proper divisors (14249033472).

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

6450754560 is a wasteful number, since it uses less digits than its factorization.

6450754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 6450754560 is about 80316.5895690299. The cubic root of 6450754560 is about 1861.5305704369.

The spelling of 6450754560 in words is "six billion, four hundred fifty million, seven hundred fifty-four thousand, five hundred sixty".