471641878368 has 576 divisors, whose sum is σ = 1506113953344. Its totient is φ = 139345920000.

The previous prime is 471641878343. The next prime is 471641878399. The reversal of 471641878368 is 863878146174.

471641878368 is a `hidden beast` number, since 47 + 164 + 1 + 8 + 78 + 368 = 666.

It is a super-2 number, since 2×471641878368² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871796178 + ... + 871796718.

It is an arithmetic number, because the mean of its divisors is an integer number (2614781169).

Almost surely, 2^471641878368 is an apocalyptic number.

471641878368 is a gapful number since it is divisible by the number (48) 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 471641878368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753056976672).

471641878368 is an abundant number, since it is smaller than the sum of its proper divisors (1034472074976).

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

471641878368 is a wasteful number, since it uses less digits than its factorization.

471641878368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 471641878368 in words is "four hundred seventy-one billion, six hundred forty-one million, eight hundred seventy-eight thousand, three hundred sixty-eight".