6472451842560 has 960 divisors, whose sum is σ = 25175372137344. Its totient is φ = 1522984550400.

The previous prime is 6472451842529. The next prime is 6472451842573. The reversal of 6472451842560 is 652481542746.

6472451842560 is a `hidden beast` number, since 6 + 4 + 7 + 24 + 5 + 18 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 6472451842497 and 6472451842506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7136109627 + ... + 7136110533.

Almost surely, 2^{6472451842560} is an apocalyptic number.

6472451842560 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 6472451842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587686068672).

6472451842560 is an abundant number, since it is smaller than the sum of its proper divisors (18702920294784).

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

6472451842560 is a wasteful number, since it uses less digits than its factorization.

6472451842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 6472451842560 in words is "six trillion, four hundred seventy-two billion, four hundred fifty-one million, eight hundred forty-two thousand, five hundred sixty".