6472889280 has 896 divisors, whose sum is σ = 27856281600. Its totient is φ = 1401753600.

The previous prime is 6472889263. The next prime is 6472889317. The reversal of 6472889280 is 829882746.

6472889280 is a `hidden beast` number, since 6 + 472 + 8 + 8 + 92 + 80 = 666.

It is a super-2 number, since 2×6472889280² = 83796591262277836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208802865 + ... + 208802895.

It is an arithmetic number, because the mean of its divisors is an integer number (31089600).

Almost surely, 2^6472889280 is an apocalyptic number.

6472889280 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 6472889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928140800).

6472889280 is an abundant number, since it is smaller than the sum of its proper divisors (21383392320).

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

6472889280 is a wasteful number, since it uses less digits than its factorization.

6472889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6472889280 is about 80454.2682522189. The cubic root of 6472889280 is about 1863.6573200232.

The spelling of 6472889280 in words is "six billion, four hundred seventy-two million, eight hundred eighty-nine thousand, two hundred eighty".