6852530880 has 672 divisors, whose sum is σ = 27638654400. Its totient is φ = 1597999104.

The previous prime is 6852530819. The next prime is 6852530903. The reversal of 6852530880 is 880352586.

It is a happy number.

6852530880 is a `hidden beast` number, since 68 + 52 + 530 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×6852530880² = 93914358922707148800, which contains 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360659511 + ... + 360659529.

It is an arithmetic number, because the mean of its divisors is an integer number (41128950).

Almost surely, 2^6852530880 is an apocalyptic number.

6852530880 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 6852530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819327200).

6852530880 is an abundant number, since it is smaller than the sum of its proper divisors (20786123520).

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

6852530880 is a wasteful number, since it uses less digits than its factorization.

6852530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6852530880 is about 82780.0149794623. The cubic root of 6852530880 is about 1899.4024787750.

The spelling of 6852530880 in words is "six billion, eight hundred fifty-two million, five hundred thirty thousand, eight hundred eighty".