470629766880 has 1296 divisors, whose sum is σ = 2059338756384. Its totient is φ = 97518919680.

The previous prime is 470629766807. The next prime is 470629766881. The reversal of 470629766880 is 88667926074.

470629766880 is a `hidden beast` number, since 470 + 6 + 29 + 7 + 6 + 68 + 80 = 666.

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 (470629766881) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 727402717 + ... + 727403363.

It is an arithmetic number, because the mean of its divisors is an integer number (1588995954).

Almost surely, 2^470629766880 is an apocalyptic number.

470629766880 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 470629766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029669378192).

470629766880 is an abundant number, since it is smaller than the sum of its proper divisors (1588708989504).

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

470629766880 is a wasteful number, since it uses less digits than its factorization.

470629766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 470629766880 in words is "four hundred seventy billion, six hundred twenty-nine million, seven hundred sixty-six thousand, eight hundred eighty".