471662624160 has 2880 divisors, whose sum is σ = 2289212513280. Its totient is φ = 90296156160.

The previous prime is 471662624123. The next prime is 471662624189. The reversal of 471662624160 is 61426266174.

471662624160 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 6 + 2 + 624 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4862501232 + ... + 4862501328.

It is an arithmetic number, because the mean of its divisors is an integer number (794865456).

Almost surely, 2^471662624160 is an apocalyptic number.

471662624160 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 471662624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144606256640).

471662624160 is an abundant number, since it is smaller than the sum of its proper divisors (1817549889120).

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

471662624160 is a wasteful number, since it uses less digits than its factorization.

471662624160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 471662624160 in words is "four hundred seventy-one billion, six hundred sixty-two million, six hundred twenty-four thousand, one hundred sixty".