6745284000 has 1152 divisors, whose sum is σ = 30908666880. Its totient is φ = 1354752000.

The previous prime is 6745283999. The next prime is 6745284019. The reversal of 6745284000 is 4825476.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95003965 + ... + 95004035.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^6745284000 is an apocalyptic number.

6745284000 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 6745284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454333440).

6745284000 is an abundant number, since it is smaller than the sum of its proper divisors (24163382880).

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

6745284000 is a wasteful number, since it uses less digits than its factorization.

6745284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6745284000 is about 82129.6779489607. The cubic root of 6745284000 is about 1889.4413398805.

The spelling of 6745284000 in words is "six billion, seven hundred forty-five million, two hundred eighty-four thousand".