471177058968 has 320 divisors, whose sum is σ = 1702122681600. Its totient is φ = 118163162880.

The previous prime is 471177058861. The next prime is 471177058969. The reversal of 471177058968 is 869850771174.

471177058968 is a `hidden beast` number, since 47 + 1 + 1 + 7 + 7 + 0 + 589 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471177058969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1284171 + ... + 1609797.

It is an arithmetic number, because the mean of its divisors is an integer number (5319133380).

Almost surely, 2^471177058968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471177058968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851061340800).

471177058968 is an abundant number, since it is smaller than the sum of its proper divisors (1230945622632).

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

471177058968 is a wasteful number, since it uses less digits than its factorization.

471177058968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325692 (or 325679 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 471177058968 in words is "four hundred seventy-one billion, one hundred seventy-seven million, fifty-eight thousand, nine hundred sixty-eight".