6825294000 has 480 divisors, whose sum is σ = 28687925760. Its totient is φ = 1477440000.

The previous prime is 6825293983. The next prime is 6825294023. The reversal of 6825294000 is 4925286.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2392575 + ... + 2395425.

It is an arithmetic number, because the mean of its divisors is an integer number (59766512).

Almost surely, 2^6825294000 is an apocalyptic number.

6825294000 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 6825294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343962880).

6825294000 is an abundant number, since it is smaller than the sum of its proper divisors (21862631760).

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

6825294000 is a wasteful number, since it uses less digits than its factorization.

6825294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6825294000 is about 82615.3375590756. The cubic root of 6825294000 is about 1896.8826072865.

The spelling of 6825294000 in words is "six billion, eight hundred twenty-five million, two hundred ninety-four thousand".