6450845042880 has 1008 divisors, whose sum is σ = 26396296939584. Its totient is φ = 1416079687680.

The previous prime is 6450845042861. The next prime is 6450845042927. The reversal of 6450845042880 is 882405480546.

6450845042880 is a `hidden beast` number, since 6 + 4 + 50 + 8 + 4 + 504 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6450845042880² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2273824822 + ... + 2273827658.

Almost surely, 2^{6450845042880} is an apocalyptic number.

6450845042880 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 6450845042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198148469792).

6450845042880 is an abundant number, since it is smaller than the sum of its proper divisors (19945451896704).

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

6450845042880 is a wasteful number, since it uses less digits than its factorization.

6450845042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 6450845042880 in words is "six trillion, four hundred fifty billion, eight hundred forty-five million, forty-two thousand, eight hundred eighty".