6859572480 has 180 divisors, whose sum is σ = 24545175732. Its totient is φ = 1829191680.

The previous prime is 6859572457. The next prime is 6859572491. The reversal of 6859572480 is 842759586.

6859572480 is a `hidden beast` number, since 6 + 8 + 5 + 95 + 72 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4917936384 + 1941636096 = 70128^2 + 44064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 70600 + ... + 136760.

Almost surely, 2^6859572480 is an apocalyptic number.

6859572480 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 6859572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272587866).

6859572480 is an abundant number, since it is smaller than the sum of its proper divisors (17685603252).

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

6859572480 is an equidigital number, since it uses as much as digits as its factorization.

6859572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66194 (or 66171 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 6859572480 is about 82822.5360635618. The cubic root of 6859572480 is about 1900.0528591019.

The spelling of 6859572480 in words is "six billion, eight hundred fifty-nine million, five hundred seventy-two thousand, four hundred eighty".