470785682109600 has 1152 divisors, whose sum is σ = 2013772422816000. Its totient is φ = 104643488563200.

The previous prime is 470785682109583. The next prime is 470785682109709. The reversal of 470785682109600 is 6901286587074.

470785682109600 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 8 + 5 + 6 + 8 + 2 + 10 + 9 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459719734 + ... + 460742666.

It is an arithmetic number, because the mean of its divisors is an integer number (1748066339250).

Almost surely, 2^{470785682109600} is an apocalyptic number.

470785682109600 is a gapful number since it is divisible by the number (40) 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 470785682109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006886211408000).

470785682109600 is an abundant number, since it is smaller than the sum of its proper divisors (1542986740706400).

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

470785682109600 is a wasteful number, since it uses less digits than its factorization.

470785682109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023135 (or 1023116 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 470785682109600 in words is "four hundred seventy trillion, seven hundred eighty-five billion, six hundred eighty-two million, one hundred nine thousand, six hundred".