6472327680 has 1000 divisors, whose sum is σ = 29124159372. Its totient is φ = 1365590016.

The previous prime is 6472327663. The next prime is 6472327711. The reversal of 6472327680 is 867232746.

6472327680 is a `hidden beast` number, since 6 + 472 + 32 + 76 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 448084224 = 77616^2 + 21168^2 .

It is a super-3 number, since 3×6472327680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 497871354 + ... + 497871366.

Almost surely, 2^6472327680 is an apocalyptic number.

6472327680 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 6472327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562079686).

6472327680 is an abundant number, since it is smaller than the sum of its proper divisors (22651831692).

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

6472327680 is an frugal number, since it uses more digits than its factorization.

6472327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6472327680 is about 80450.7779949952. Note that the first 3 decimals coincide. The cubic root of 6472327680 is about 1863.6034203309.

The spelling of 6472327680 in words is "six billion, four hundred seventy-two million, three hundred twenty-seven thousand, six hundred eighty".