472706234212680 has 768 divisors, whose sum is σ = 1676918020377600. Its totient is φ = 114788988518400.

The previous prime is 472706234212643. The next prime is 472706234212769. The reversal of 472706234212680 is 86212432607274.

472706234212680 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 0 + 623 + 4 + 2 + 1 + 2 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298614171169 + ... + 298614172751.

It is an arithmetic number, because the mean of its divisors is an integer number (2183487005700).

Almost surely, 2^{472706234212680} is an apocalyptic number.

472706234212680 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 472706234212680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838459010188800).

472706234212680 is an abundant number, since it is smaller than the sum of its proper divisors (1204211786164920).

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

472706234212680 is a wasteful number, since it uses less digits than its factorization.

472706234212680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 472706234212680 in words is "four hundred seventy-two trillion, seven hundred six billion, two hundred thirty-four million, two hundred twelve thousand, six hundred eighty".