471793870080 has 2016 divisors, whose sum is σ = 2026768262400. Its totient is φ = 104055570432.

The previous prime is 471793870039. The next prime is 471793870129. The reversal of 471793870080 is 80078397174.

471793870080 is a `hidden beast` number, since 471 + 7 + 93 + 8 + 7 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 471793869999 and 471793870026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5301054676 + ... + 5301054764.

It is an arithmetic number, because the mean of its divisors is an integer number (1005341400).

Almost surely, 2^471793870080 is an apocalyptic number.

471793870080 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 471793870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013384131200).

471793870080 is an abundant number, since it is smaller than the sum of its proper divisors (1554974392320).

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

471793870080 is a wasteful number, since it uses less digits than its factorization.

471793870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 471793870080 in words is "four hundred seventy-one billion, seven hundred ninety-three million, eight hundred seventy thousand, eighty".