470863476864 has 1280 divisors, whose sum is σ = 1706158080000. Its totient is φ = 127292497920.

The previous prime is 470863476833. The next prime is 470863476907. The reversal of 470863476864 is 468674368074.

It is a happy number.

470863476864 is a `hidden beast` number, since 4 + 7 + 0 + 86 + 3 + 476 + 86 + 4 = 666.

It is a super-3 number, since 3×470863476864³ (a number of 36 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 3707586369 + ... + 3707586495.

It is an arithmetic number, because the mean of its divisors is an integer number (1332936000).

Almost surely, 2^470863476864 is an apocalyptic number.

470863476864 is a gapful number since it is divisible by the number (44) 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 470863476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853079040000).

470863476864 is an abundant number, since it is smaller than the sum of its proper divisors (1235294603136).

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

470863476864 is a wasteful number, since it uses less digits than its factorization.

470863476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 470863476864 in words is "four hundred seventy billion, eight hundred sixty-three million, four hundred seventy-six thousand, eight hundred sixty-four".