6852384000 has 1152 divisors, whose sum is σ = 31835381760. Its totient is φ = 1410048000.

The previous prime is 6852383977. The next prime is 6852384013. The reversal of 6852384000 is 4832586.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66527949 + ... + 66528051.

It is an arithmetic number, because the mean of its divisors is an integer number (27634880).

Almost surely, 2^6852384000 is an apocalyptic number.

6852384000 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 6852384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917690880).

6852384000 is an abundant number, since it is smaller than the sum of its proper divisors (24982997760).

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

6852384000 is a wasteful number, since it uses less digits than its factorization.

6852384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6852384000 is about 82779.1278040546. The cubic root of 6852384000 is about 1899.3889078168.

The spelling of 6852384000 in words is "six billion, eight hundred fifty-two million, three hundred eighty-four thousand".