471620620800 has 720 divisors, whose sum is σ = 2000447921472. Its totient is φ = 107794022400.

The previous prime is 471620620799. The next prime is 471620620829. The reversal of 471620620800 is 8026026174.

471620620800 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 20 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 21761970 + ... + 21783630.

Almost surely, 2^471620620800 is an apocalyptic number.

471620620800 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 471620620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000223960736).

471620620800 is an abundant number, since it is smaller than the sum of its proper divisors (1528827300672).

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

471620620800 is an equidigital number, since it uses as much as digits as its factorization.

471620620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21711 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 471620620800 its reverse (8026026174), we get a palindrome (479646646974).

The spelling of 471620620800 in words is "four hundred seventy-one billion, six hundred twenty million, six hundred twenty thousand, eight hundred".