6858432000 has 960 divisors, whose sum is σ = 29836572480. Its totient is φ = 1567641600.

The previous prime is 6858431963. The next prime is 6858432001. The reversal of 6858432000 is 2348586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6858432001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979775997 + ... + 979776003.

It is an arithmetic number, because the mean of its divisors is an integer number (31079763).

Almost surely, 2^6858432000 is an apocalyptic number.

6858432000 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 6858432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918286240).

6858432000 is an abundant number, since it is smaller than the sum of its proper divisors (22978140480).

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

6858432000 is an frugal number, since it uses more digits than its factorization.

6858432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

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

The square root of 6858432000 is about 82815.6506947811. The cubic root of 6858432000 is about 1899.9475516455.

The spelling of 6858432000 in words is "six billion, eight hundred fifty-eight million, four hundred thirty-two thousand".