394832725784640 has 3584 divisors, whose sum is σ = 1793241901301760. Its totient is φ = 80346857472000.

The previous prime is 394832725784611. The next prime is 394832725784683. The reversal of 394832725784640 is 46487527238493.

394832725784640 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 3 + 2 + 7 + 2 + 578 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 625725397125 + ... + 625725397755.

It is an arithmetic number, because the mean of its divisors is an integer number (500346512640).

Almost surely, 2^{394832725784640} is an apocalyptic number.

394832725784640 is a gapful number since it is divisible by the number (30) 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 394832725784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896620950650880).

394832725784640 is an abundant number, since it is smaller than the sum of its proper divisors (1398409175517120).

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

394832725784640 is a wasteful number, since it uses less digits than its factorization.

394832725784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 394832725784640 in words is "three hundred ninety-four trillion, eight hundred thirty-two billion, seven hundred twenty-five million, seven hundred eighty-four thousand, six hundred forty".